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Finding the Third Proportional to 410,550.75 and 615,210.38

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Solution

The third proportional to 410,550.75 and 615,210.38 is: 921,892.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,550.75 : 615,210.38 = 615,210.38 : x
  2. Step 2: Convert to fraction form
    410,550.75/615,210.38 = 615,210.38/x
  3. Step 3: Cross multiply
    410,550.75x = 615,210.38 × 615,210.38
  4. Step 4: Simplify right side
    410,550.75x = 378,483,805,507.64
  5. Step 5: Solve for x
    x = 378,483,805,507.64/410,550.75
  6. Step 6: Final answer
    x = 921,892.86

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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.