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Finding the Third Proportional to 406,947.38 and 598,660.88

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Solution

The third proportional to 406,947.38 and 598,660.88 is: 880,690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,947.38 : 598,660.88 = 598,660.88 : x
  2. Step 2: Convert to fraction form
    406,947.38/598,660.88 = 598,660.88/x
  3. Step 3: Cross multiply
    406,947.38x = 598,660.88 × 598,660.88
  4. Step 4: Simplify right side
    406,947.38x = 358,394,843,255.77
  5. Step 5: Solve for x
    x = 358,394,843,255.77/406,947.38
  6. Step 6: Final answer
    x = 880,690.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.