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Finding the Third Proportional to 251,360 and 547,048

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Solution

The third proportional to 251,360 and 547,048 is: 1,190,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,360 : 547,048 = 547,048 : x
  2. Step 2: Convert to fraction form
    251,360/547,048 = 547,048/x
  3. Step 3: Cross multiply
    251,360x = 547,048 × 547,048
  4. Step 4: Simplify right side
    251,360x = 299,261,514,304
  5. Step 5: Solve for x
    x = 299,261,514,304/251,360
  6. Step 6: Final answer
    x = 1,190,569.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.