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Finding the Third Proportional to 492,741 and 544,581

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Solution

The third proportional to 492,741 and 544,581 is: 601,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,741 : 544,581 = 544,581 : x
  2. Step 2: Convert to fraction form
    492,741/544,581 = 544,581/x
  3. Step 3: Cross multiply
    492,741x = 544,581 × 544,581
  4. Step 4: Simplify right side
    492,741x = 296,568,465,561
  5. Step 5: Solve for x
    x = 296,568,465,561/492,741
  6. Step 6: Final answer
    x = 601,874.95

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.