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Finding the Third Proportional to 225,542 and 486,342

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Solution

The third proportional to 225,542 and 486,342 is: 1,048,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,542 : 486,342 = 486,342 : x
  2. Step 2: Convert to fraction form
    225,542/486,342 = 486,342/x
  3. Step 3: Cross multiply
    225,542x = 486,342 × 486,342
  4. Step 4: Simplify right side
    225,542x = 236,528,540,964
  5. Step 5: Solve for x
    x = 236,528,540,964/225,542
  6. Step 6: Final answer
    x = 1,048,711.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.