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Finding the Third Proportional to 267,437.50 and 392,970.50

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Solution

The third proportional to 267,437.50 and 392,970.50 is: 577,427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,437.50 : 392,970.50 = 392,970.50 : x
  2. Step 2: Convert to fraction form
    267,437.50/392,970.50 = 392,970.50/x
  3. Step 3: Cross multiply
    267,437.50x = 392,970.50 × 392,970.50
  4. Step 4: Simplify right side
    267,437.50x = 154,425,813,870.25
  5. Step 5: Solve for x
    x = 154,425,813,870.25/267,437.50
  6. Step 6: Final answer
    x = 577,427.68

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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.