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Finding the Third Proportional to 282,344 and 619,960

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Solution

The third proportional to 282,344 and 619,960 is: 1,361,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,344 : 619,960 = 619,960 : x
  2. Step 2: Convert to fraction form
    282,344/619,960 = 619,960/x
  3. Step 3: Cross multiply
    282,344x = 619,960 × 619,960
  4. Step 4: Simplify right side
    282,344x = 384,350,401,600
  5. Step 5: Solve for x
    x = 384,350,401,600/282,344
  6. Step 6: Final answer
    x = 1,361,284.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.