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Finding the Third Proportional to 534,032 and 826,616

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Solution

The third proportional to 534,032 and 826,616 is: 1,279,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,032 : 826,616 = 826,616 : x
  2. Step 2: Convert to fraction form
    534,032/826,616 = 826,616/x
  3. Step 3: Cross multiply
    534,032x = 826,616 × 826,616
  4. Step 4: Simplify right side
    534,032x = 683,294,011,456
  5. Step 5: Solve for x
    x = 683,294,011,456/534,032
  6. Step 6: Final answer
    x = 1,279,500.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.