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Finding the Third Proportional to 357,293,565.50 and 773,944,497.50

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Solution

The third proportional to 357,293,565.50 and 773,944,497.50 is: 1,676,464,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,293,565.50 : 773,944,497.50 = 773,944,497.50 : x
  2. Step 2: Convert to fraction form
    357,293,565.50/773,944,497.50 = 773,944,497.50/x
  3. Step 3: Cross multiply
    357,293,565.50x = 773,944,497.50 × 773,944,497.50
  4. Step 4: Simplify right side
    357,293,565.50x = 598,990,085,210,527,488
  5. Step 5: Solve for x
    x = 598,990,085,210,527,488/357,293,565.50
  6. Step 6: Final answer
    x = 1,676,464,798.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.