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Finding the Third Proportional to 497,640 and 750,585

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Solution

The third proportional to 497,640 and 750,585 is: 1,132,099.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,640 : 750,585 = 750,585 : x
  2. Step 2: Convert to fraction form
    497,640/750,585 = 750,585/x
  3. Step 3: Cross multiply
    497,640x = 750,585 × 750,585
  4. Step 4: Simplify right side
    497,640x = 563,377,842,225
  5. Step 5: Solve for x
    x = 563,377,842,225/497,640
  6. Step 6: Final answer
    x = 1,132,099.19

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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.