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Finding the Third Proportional to 243,521 and 532,866

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Solution

The third proportional to 243,521 and 532,866 is: 1,166,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,521 : 532,866 = 532,866 : x
  2. Step 2: Convert to fraction form
    243,521/532,866 = 532,866/x
  3. Step 3: Cross multiply
    243,521x = 532,866 × 532,866
  4. Step 4: Simplify right side
    243,521x = 283,946,173,956
  5. Step 5: Solve for x
    x = 283,946,173,956/243,521
  6. Step 6: Final answer
    x = 1,166,002.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.