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Finding the Third Proportional to 542,474 and 802,647

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Solution

The third proportional to 542,474 and 802,647 is: 1,187,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,474 : 802,647 = 802,647 : x
  2. Step 2: Convert to fraction form
    542,474/802,647 = 802,647/x
  3. Step 3: Cross multiply
    542,474x = 802,647 × 802,647
  4. Step 4: Simplify right side
    542,474x = 644,242,206,609
  5. Step 5: Solve for x
    x = 644,242,206,609/542,474
  6. Step 6: Final answer
    x = 1,187,600.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.