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Finding the Third Proportional to 542,472 and 802,644

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Solution

The third proportional to 542,472 and 802,644 is: 1,187,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,472 : 802,644 = 802,644 : x
  2. Step 2: Convert to fraction form
    542,472/802,644 = 802,644/x
  3. Step 3: Cross multiply
    542,472x = 802,644 × 802,644
  4. Step 4: Simplify right side
    542,472x = 644,237,390,736
  5. Step 5: Solve for x
    x = 644,237,390,736/542,472
  6. Step 6: Final answer
    x = 1,187,595.66

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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.