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Finding the Third Proportional to 502,645.50 and 744,126.75

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Solution

The third proportional to 502,645.50 and 744,126.75 is: 1,101,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,645.50 : 744,126.75 = 744,126.75 : x
  2. Step 2: Convert to fraction form
    502,645.50/744,126.75 = 744,126.75/x
  3. Step 3: Cross multiply
    502,645.50x = 744,126.75 × 744,126.75
  4. Step 4: Simplify right side
    502,645.50x = 553,724,620,065.56
  5. Step 5: Solve for x
    x = 553,724,620,065.56/502,645.50
  6. Step 6: Final answer
    x = 1,101,620.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.