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Finding the Third Proportional to 334,432.13 and 501,751.13

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Solution

The third proportional to 334,432.13 and 501,751.13 is: 752,781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,432.13 : 501,751.13 = 501,751.13 : x
  2. Step 2: Convert to fraction form
    334,432.13/501,751.13 = 501,751.13/x
  3. Step 3: Cross multiply
    334,432.13x = 501,751.13 × 501,751.13
  4. Step 4: Simplify right side
    334,432.13x = 251,754,191,438.77
  5. Step 5: Solve for x
    x = 251,754,191,438.77/334,432.13
  6. Step 6: Final answer
    x = 752,781.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.