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Finding the Third Proportional to 243,414 and 524,277

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Solution

The third proportional to 243,414 and 524,277 is: 1,129,213.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,414 : 524,277 = 524,277 : x
  2. Step 2: Convert to fraction form
    243,414/524,277 = 524,277/x
  3. Step 3: Cross multiply
    243,414x = 524,277 × 524,277
  4. Step 4: Simplify right side
    243,414x = 274,866,372,729
  5. Step 5: Solve for x
    x = 274,866,372,729/243,414
  6. Step 6: Final answer
    x = 1,129,213.49

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Why These Related Problems?

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