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Finding the Third Proportional to 284,332 and 612,404

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Solution

The third proportional to 284,332 and 612,404 is: 1,319,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,332 : 612,404 = 612,404 : x
  2. Step 2: Convert to fraction form
    284,332/612,404 = 612,404/x
  3. Step 3: Cross multiply
    284,332x = 612,404 × 612,404
  4. Step 4: Simplify right side
    284,332x = 375,038,659,216
  5. Step 5: Solve for x
    x = 375,038,659,216/284,332
  6. Step 6: Final answer
    x = 1,319,016.71

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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.