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Finding the Third Proportional to 251,508.50 and 392,572

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Solution

The third proportional to 251,508.50 and 392,572 is: 612,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,508.50 : 392,572 = 392,572 : x
  2. Step 2: Convert to fraction form
    251,508.50/392,572 = 392,572/x
  3. Step 3: Cross multiply
    251,508.50x = 392,572 × 392,572
  4. Step 4: Simplify right side
    251,508.50x = 154,112,775,184
  5. Step 5: Solve for x
    x = 154,112,775,184/251,508.50
  6. Step 6: Final answer
    x = 612,753.74

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.