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Finding the Third Proportional to 410,086.13 and 615,124.13

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Solution

The third proportional to 410,086.13 and 615,124.13 is: 922,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,086.13 : 615,124.13 = 615,124.13 : x
  2. Step 2: Convert to fraction form
    410,086.13/615,124.13 = 615,124.13/x
  3. Step 3: Cross multiply
    410,086.13x = 615,124.13 × 615,124.13
  4. Step 4: Simplify right side
    410,086.13x = 378,377,689,157.02
  5. Step 5: Solve for x
    x = 378,377,689,157.02/410,086.13
  6. Step 6: Final answer
    x = 922,678.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.