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Finding the Third Proportional to 242,207.81 and 521,432.44

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Solution

The third proportional to 242,207.81 and 521,432.44 is: 1,122,555.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,207.81 : 521,432.44 = 521,432.44 : x
  2. Step 2: Convert to fraction form
    242,207.81/521,432.44 = 521,432.44/x
  3. Step 3: Cross multiply
    242,207.81x = 521,432.44 × 521,432.44
  4. Step 4: Simplify right side
    242,207.81x = 271,891,786,877.19
  5. Step 5: Solve for x
    x = 271,891,786,877.19/242,207.81
  6. Step 6: Final answer
    x = 1,122,555.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.