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Finding the Third Proportional to 406,947.38 and 598,657.50

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Solution

The third proportional to 406,947.38 and 598,657.50 is: 880,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,947.38 : 598,657.50 = 598,657.50 : x
  2. Step 2: Convert to fraction form
    406,947.38/598,657.50 = 598,657.50/x
  3. Step 3: Cross multiply
    406,947.38x = 598,657.50 × 598,657.50
  4. Step 4: Simplify right side
    406,947.38x = 358,390,802,306.25
  5. Step 5: Solve for x
    x = 358,390,802,306.25/406,947.38
  6. Step 6: Final answer
    x = 880,680.95

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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.