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Finding the Third Proportional to 501,280,960 and 766,329,386

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Solution

The third proportional to 501,280,960 and 766,329,386 is: 1,171,520,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,280,960 : 766,329,386 = 766,329,386 : x
  2. Step 2: Convert to fraction form
    501,280,960/766,329,386 = 766,329,386/x
  3. Step 3: Cross multiply
    501,280,960x = 766,329,386 × 766,329,386
  4. Step 4: Simplify right side
    501,280,960x = 587,260,727,847,137,024
  5. Step 5: Solve for x
    x = 587,260,727,847,137,024/501,280,960
  6. Step 6: Final answer
    x = 1,171,520,114.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.