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Finding the Third Proportional to 284,552 and 619,216

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Solution

The third proportional to 284,552 and 619,216 is: 1,347,481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,552 : 619,216 = 619,216 : x
  2. Step 2: Convert to fraction form
    284,552/619,216 = 619,216/x
  3. Step 3: Cross multiply
    284,552x = 619,216 × 619,216
  4. Step 4: Simplify right side
    284,552x = 383,428,454,656
  5. Step 5: Solve for x
    x = 383,428,454,656/284,552
  6. Step 6: Final answer
    x = 1,347,481.14

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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.