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Finding the Third Proportional to 401,461.88 and 587,115

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Solution

The third proportional to 401,461.88 and 587,115 is: 858,622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,461.88 : 587,115 = 587,115 : x
  2. Step 2: Convert to fraction form
    401,461.88/587,115 = 587,115/x
  3. Step 3: Cross multiply
    401,461.88x = 587,115 × 587,115
  4. Step 4: Simplify right side
    401,461.88x = 344,704,023,225
  5. Step 5: Solve for x
    x = 344,704,023,225/401,461.88
  6. Step 6: Final answer
    x = 858,622.06

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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.