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Finding the Third Proportional to 492,199 and 724,474

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Solution

The third proportional to 492,199 and 724,474 is: 1,066,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,199 : 724,474 = 724,474 : x
  2. Step 2: Convert to fraction form
    492,199/724,474 = 724,474/x
  3. Step 3: Cross multiply
    492,199x = 724,474 × 724,474
  4. Step 4: Simplify right side
    492,199x = 524,862,576,676
  5. Step 5: Solve for x
    x = 524,862,576,676/492,199
  6. Step 6: Final answer
    x = 1,066,362.54

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Why These Related Problems?

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