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Finding the Third Proportional to 250,448 and 542,648

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Solution

The third proportional to 250,448 and 542,648 is: 1,175,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,448 : 542,648 = 542,648 : x
  2. Step 2: Convert to fraction form
    250,448/542,648 = 542,648/x
  3. Step 3: Cross multiply
    250,448x = 542,648 × 542,648
  4. Step 4: Simplify right side
    250,448x = 294,466,851,904
  5. Step 5: Solve for x
    x = 294,466,851,904/250,448
  6. Step 6: Final answer
    x = 1,175,760.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.