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Finding the Third Proportional to 337,527 and 721,710

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Solution

The third proportional to 337,527 and 721,710 is: 1,543,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,527 : 721,710 = 721,710 : x
  2. Step 2: Convert to fraction form
    337,527/721,710 = 721,710/x
  3. Step 3: Cross multiply
    337,527x = 721,710 × 721,710
  4. Step 4: Simplify right side
    337,527x = 520,865,324,100
  5. Step 5: Solve for x
    x = 520,865,324,100/337,527
  6. Step 6: Final answer
    x = 1,543,181.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.