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Finding the Third Proportional to 262,073 and 392,700

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Solution

The third proportional to 262,073 and 392,700 is: 588,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,073 : 392,700 = 392,700 : x
  2. Step 2: Convert to fraction form
    262,073/392,700 = 392,700/x
  3. Step 3: Cross multiply
    262,073x = 392,700 × 392,700
  4. Step 4: Simplify right side
    262,073x = 154,213,290,000
  5. Step 5: Solve for x
    x = 154,213,290,000/262,073
  6. Step 6: Final answer
    x = 588,436.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.