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Finding the Third Proportional to 253,581.75 and 392,443.88

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Solution

The third proportional to 253,581.75 and 392,443.88 is: 607,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,581.75 : 392,443.88 = 392,443.88 : x
  2. Step 2: Convert to fraction form
    253,581.75/392,443.88 = 392,443.88/x
  3. Step 3: Cross multiply
    253,581.75x = 392,443.88 × 392,443.88
  4. Step 4: Simplify right side
    253,581.75x = 154,012,195,025.02
  5. Step 5: Solve for x
    x = 154,012,195,025.02/253,581.75
  6. Step 6: Final answer
    x = 607,347.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.