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Finding the Third Proportional to 286,972.56 and 414,839.92

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Solution

The third proportional to 286,972.56 and 414,839.92 is: 599,681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,972.56 : 414,839.92 = 414,839.92 : x
  2. Step 2: Convert to fraction form
    286,972.56/414,839.92 = 414,839.92/x
  3. Step 3: Cross multiply
    286,972.56x = 414,839.92 × 414,839.92
  4. Step 4: Simplify right side
    286,972.56x = 172,092,157,540.32
  5. Step 5: Solve for x
    x = 172,092,157,540.32/286,972.56
  6. Step 6: Final answer
    x = 599,681.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.