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Finding the Third Proportional to 492,184 and 754,524

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Solution

The third proportional to 492,184 and 754,524 is: 1,156,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,184 : 754,524 = 754,524 : x
  2. Step 2: Convert to fraction form
    492,184/754,524 = 754,524/x
  3. Step 3: Cross multiply
    492,184x = 754,524 × 754,524
  4. Step 4: Simplify right side
    492,184x = 569,306,466,576
  5. Step 5: Solve for x
    x = 569,306,466,576/492,184
  6. Step 6: Final answer
    x = 1,156,694.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.