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Finding the Third Proportional to 240,049 and 522,434

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Solution

The third proportional to 240,049 and 522,434 is: 1,137,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,049 : 522,434 = 522,434 : x
  2. Step 2: Convert to fraction form
    240,049/522,434 = 522,434/x
  3. Step 3: Cross multiply
    240,049x = 522,434 × 522,434
  4. Step 4: Simplify right side
    240,049x = 272,937,284,356
  5. Step 5: Solve for x
    x = 272,937,284,356/240,049
  6. Step 6: Final answer
    x = 1,137,006.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.