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Finding the Third Proportional to 252,572.50 and 399,865

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Solution

The third proportional to 252,572.50 and 399,865 is: 633,053.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,572.50 : 399,865 = 399,865 : x
  2. Step 2: Convert to fraction form
    252,572.50/399,865 = 399,865/x
  3. Step 3: Cross multiply
    252,572.50x = 399,865 × 399,865
  4. Step 4: Simplify right side
    252,572.50x = 159,892,018,225
  5. Step 5: Solve for x
    x = 159,892,018,225/252,572.50
  6. Step 6: Final answer
    x = 633,053.95

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.