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Finding the Third Proportional to 243,243 and 532,301

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Solution

The third proportional to 243,243 and 532,301 is: 1,164,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,243 : 532,301 = 532,301 : x
  2. Step 2: Convert to fraction form
    243,243/532,301 = 532,301/x
  3. Step 3: Cross multiply
    243,243x = 532,301 × 532,301
  4. Step 4: Simplify right side
    243,243x = 283,344,354,601
  5. Step 5: Solve for x
    x = 283,344,354,601/243,243
  6. Step 6: Final answer
    x = 1,164,861.29

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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.