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Finding the Third Proportional to 360,648 and 561,382

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Solution

The third proportional to 360,648 and 561,382 is: 873,843.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,648 : 561,382 = 561,382 : x
  2. Step 2: Convert to fraction form
    360,648/561,382 = 561,382/x
  3. Step 3: Cross multiply
    360,648x = 561,382 × 561,382
  4. Step 4: Simplify right side
    360,648x = 315,149,749,924
  5. Step 5: Solve for x
    x = 315,149,749,924/360,648
  6. Step 6: Final answer
    x = 873,843.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.