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Finding the Third Proportional to 337,614 and 534,610

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Solution

The third proportional to 337,614 and 534,610 is: 846,552.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,614 : 534,610 = 534,610 : x
  2. Step 2: Convert to fraction form
    337,614/534,610 = 534,610/x
  3. Step 3: Cross multiply
    337,614x = 534,610 × 534,610
  4. Step 4: Simplify right side
    337,614x = 285,807,852,100
  5. Step 5: Solve for x
    x = 285,807,852,100/337,614
  6. Step 6: Final answer
    x = 846,552.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.