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Finding the Third Proportional to 530,038.69 and 844,227.56

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Solution

The third proportional to 530,038.69 and 844,227.56 is: 1,344,656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,038.69 : 844,227.56 = 844,227.56 : x
  2. Step 2: Convert to fraction form
    530,038.69/844,227.56 = 844,227.56/x
  3. Step 3: Cross multiply
    530,038.69x = 844,227.56 × 844,227.56
  4. Step 4: Simplify right side
    530,038.69x = 712,720,177,284.69
  5. Step 5: Solve for x
    x = 712,720,177,284.69/530,038.69
  6. Step 6: Final answer
    x = 1,344,656.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.