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Finding the Third Proportional to 492,192 and 724,464

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Solution

The third proportional to 492,192 and 724,464 is: 1,066,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,192 : 724,464 = 724,464 : x
  2. Step 2: Convert to fraction form
    492,192/724,464 = 724,464/x
  3. Step 3: Cross multiply
    492,192x = 724,464 × 724,464
  4. Step 4: Simplify right side
    492,192x = 524,848,087,296
  5. Step 5: Solve for x
    x = 524,848,087,296/492,192
  6. Step 6: Final answer
    x = 1,066,348.27

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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.