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Finding the Third Proportional to 497,952 and 758,448

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Solution

The third proportional to 497,952 and 758,448 is: 1,155,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,952 : 758,448 = 758,448 : x
  2. Step 2: Convert to fraction form
    497,952/758,448 = 758,448/x
  3. Step 3: Cross multiply
    497,952x = 758,448 × 758,448
  4. Step 4: Simplify right side
    497,952x = 575,243,368,704
  5. Step 5: Solve for x
    x = 575,243,368,704/497,952
  6. Step 6: Final answer
    x = 1,155,218.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.