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Finding the Third Proportional to 401,455.13 and 587,104.88

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Solution

The third proportional to 401,455.13 and 587,104.88 is: 858,606.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,455.13 : 587,104.88 = 587,104.88 : x
  2. Step 2: Convert to fraction form
    401,455.13/587,104.88 = 587,104.88/x
  3. Step 3: Cross multiply
    401,455.13x = 587,104.88 × 587,104.88
  4. Step 4: Simplify right side
    401,455.13x = 344,692,134,248.77
  5. Step 5: Solve for x
    x = 344,692,134,248.77/401,455.13
  6. Step 6: Final answer
    x = 858,606.88

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.