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Finding the Third Proportional to 530,042 and 844,233

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Solution

The third proportional to 530,042 and 844,233 is: 1,344,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,042 : 844,233 = 844,233 : x
  2. Step 2: Convert to fraction form
    530,042/844,233 = 844,233/x
  3. Step 3: Cross multiply
    530,042x = 844,233 × 844,233
  4. Step 4: Simplify right side
    530,042x = 712,729,358,289
  5. Step 5: Solve for x
    x = 712,729,358,289/530,042
  6. Step 6: Final answer
    x = 1,344,665.82

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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.