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Finding the Third Proportional to 442,209.38 and 701,348.63

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Solution

The third proportional to 442,209.38 and 701,348.63 is: 1,112,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,209.38 : 701,348.63 = 701,348.63 : x
  2. Step 2: Convert to fraction form
    442,209.38/701,348.63 = 701,348.63/x
  3. Step 3: Cross multiply
    442,209.38x = 701,348.63 × 701,348.63
  4. Step 4: Simplify right side
    442,209.38x = 491,889,893,789.39
  5. Step 5: Solve for x
    x = 491,889,893,789.39/442,209.38
  6. Step 6: Final answer
    x = 1,112,346.15

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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.