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Finding the Third Proportional to 410,335.88 and 613,863.56

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Solution

The third proportional to 410,335.88 and 613,863.56 is: 918,341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,335.88 : 613,863.56 = 613,863.56 : x
  2. Step 2: Convert to fraction form
    410,335.88/613,863.56 = 613,863.56/x
  3. Step 3: Cross multiply
    410,335.88x = 613,863.56 × 613,863.56
  4. Step 4: Simplify right side
    410,335.88x = 376,828,473,365.19
  5. Step 5: Solve for x
    x = 376,828,473,365.19/410,335.88
  6. Step 6: Final answer
    x = 918,341.53

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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.