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Finding the Third Proportional to 492,739 and 544,579

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Solution

The third proportional to 492,739 and 544,579 is: 601,872.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,739 : 544,579 = 544,579 : x
  2. Step 2: Convert to fraction form
    492,739/544,579 = 544,579/x
  3. Step 3: Cross multiply
    492,739x = 544,579 × 544,579
  4. Step 4: Simplify right side
    492,739x = 296,566,287,241
  5. Step 5: Solve for x
    x = 296,566,287,241/492,739
  6. Step 6: Final answer
    x = 601,872.97

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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.