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Finding the Third Proportional to 572,286.38 and 885,730.78

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Solution

The third proportional to 572,286.38 and 885,730.78 is: 1,370,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,286.38 : 885,730.78 = 885,730.78 : x
  2. Step 2: Convert to fraction form
    572,286.38/885,730.78 = 885,730.78/x
  3. Step 3: Cross multiply
    572,286.38x = 885,730.78 × 885,730.78
  4. Step 4: Simplify right side
    572,286.38x = 784,519,016,853.74
  5. Step 5: Solve for x
    x = 784,519,016,853.74/572,286.38
  6. Step 6: Final answer
    x = 1,370,850.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.