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Finding the Third Proportional to 497,718 and 750,655

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Solution

The third proportional to 497,718 and 750,655 is: 1,132,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,718 : 750,655 = 750,655 : x
  2. Step 2: Convert to fraction form
    497,718/750,655 = 750,655/x
  3. Step 3: Cross multiply
    497,718x = 750,655 × 750,655
  4. Step 4: Simplify right side
    497,718x = 563,482,929,025
  5. Step 5: Solve for x
    x = 563,482,929,025/497,718
  6. Step 6: Final answer
    x = 1,132,132.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.