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Finding the Third Proportional to 442,149.50 and 954,897

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Solution

The third proportional to 442,149.50 and 954,897 is: 2,062,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,149.50 : 954,897 = 954,897 : x
  2. Step 2: Convert to fraction form
    442,149.50/954,897 = 954,897/x
  3. Step 3: Cross multiply
    442,149.50x = 954,897 × 954,897
  4. Step 4: Simplify right side
    442,149.50x = 911,828,280,609
  5. Step 5: Solve for x
    x = 911,828,280,609/442,149.50
  6. Step 6: Final answer
    x = 2,062,262.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.