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Finding the Third Proportional to 267,438.50 and 392,972

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Solution

The third proportional to 267,438.50 and 392,972 is: 577,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,438.50 : 392,972 = 392,972 : x
  2. Step 2: Convert to fraction form
    267,438.50/392,972 = 392,972/x
  3. Step 3: Cross multiply
    267,438.50x = 392,972 × 392,972
  4. Step 4: Simplify right side
    267,438.50x = 154,426,992,784
  5. Step 5: Solve for x
    x = 154,426,992,784/267,438.50
  6. Step 6: Final answer
    x = 577,429.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.