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Finding the Third Proportional to 497,592 and 748,884

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Solution

The third proportional to 497,592 and 748,884 is: 1,127,082.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,592 : 748,884 = 748,884 : x
  2. Step 2: Convert to fraction form
    497,592/748,884 = 748,884/x
  3. Step 3: Cross multiply
    497,592x = 748,884 × 748,884
  4. Step 4: Simplify right side
    497,592x = 560,827,245,456
  5. Step 5: Solve for x
    x = 560,827,245,456/497,592
  6. Step 6: Final answer
    x = 1,127,082.52

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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.