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Finding the Third Proportional to 257,300,565 and 397,572,033

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Solution

The third proportional to 257,300,565 and 397,572,033 is: 614,314,707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,300,565 : 397,572,033 = 397,572,033 : x
  2. Step 2: Convert to fraction form
    257,300,565/397,572,033 = 397,572,033/x
  3. Step 3: Cross multiply
    257,300,565x = 397,572,033 × 397,572,033
  4. Step 4: Simplify right side
    257,300,565x = 158,063,521,423,753,088
  5. Step 5: Solve for x
    x = 158,063,521,423,753,088/257,300,565
  6. Step 6: Final answer
    x = 614,314,707.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.