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Finding the Third Proportional to 492,197 and 724,471

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Solution

The third proportional to 492,197 and 724,471 is: 1,066,358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,197 : 724,471 = 724,471 : x
  2. Step 2: Convert to fraction form
    492,197/724,471 = 724,471/x
  3. Step 3: Cross multiply
    492,197x = 724,471 × 724,471
  4. Step 4: Simplify right side
    492,197x = 524,858,229,841
  5. Step 5: Solve for x
    x = 524,858,229,841/492,197
  6. Step 6: Final answer
    x = 1,066,358.04

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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.