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Finding the Third Proportional to 354,875,658 and 772,240,524

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Solution

The third proportional to 354,875,658 and 772,240,524 is: 1,680,463,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,875,658 : 772,240,524 = 772,240,524 : x
  2. Step 2: Convert to fraction form
    354,875,658/772,240,524 = 772,240,524/x
  3. Step 3: Cross multiply
    354,875,658x = 772,240,524 × 772,240,524
  4. Step 4: Simplify right side
    354,875,658x = 596,355,426,907,794,560
  5. Step 5: Solve for x
    x = 596,355,426,907,794,560/354,875,658
  6. Step 6: Final answer
    x = 1,680,463,039.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.