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Finding the Third Proportional to 317,171.63 and 458,257.88

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Solution

The third proportional to 317,171.63 and 458,257.88 is: 662,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,171.63 : 458,257.88 = 458,257.88 : x
  2. Step 2: Convert to fraction form
    317,171.63/458,257.88 = 458,257.88/x
  3. Step 3: Cross multiply
    317,171.63x = 458,257.88 × 458,257.88
  4. Step 4: Simplify right side
    317,171.63x = 210,000,279,999.52
  5. Step 5: Solve for x
    x = 210,000,279,999.52/317,171.63
  6. Step 6: Final answer
    x = 662,102.99

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.