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Finding the Third Proportional to 243,513 and 532,850

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Solution

The third proportional to 243,513 and 532,850 is: 1,165,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,513 : 532,850 = 532,850 : x
  2. Step 2: Convert to fraction form
    243,513/532,850 = 532,850/x
  3. Step 3: Cross multiply
    243,513x = 532,850 × 532,850
  4. Step 4: Simplify right side
    243,513x = 283,929,122,500
  5. Step 5: Solve for x
    x = 283,929,122,500/243,513
  6. Step 6: Final answer
    x = 1,165,971.11

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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.