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Finding the Third Proportional to 243,511 and 532,846

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Solution

The third proportional to 243,511 and 532,846 is: 1,165,963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,511 : 532,846 = 532,846 : x
  2. Step 2: Convert to fraction form
    243,511/532,846 = 532,846/x
  3. Step 3: Cross multiply
    243,511x = 532,846 × 532,846
  4. Step 4: Simplify right side
    243,511x = 283,924,859,716
  5. Step 5: Solve for x
    x = 283,924,859,716/243,511
  6. Step 6: Final answer
    x = 1,165,963.18

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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.