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Finding the Third Proportional to 251,180 and 592,827

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Solution

The third proportional to 251,180 and 592,827 is: 1,399,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,180 : 592,827 = 592,827 : x
  2. Step 2: Convert to fraction form
    251,180/592,827 = 592,827/x
  3. Step 3: Cross multiply
    251,180x = 592,827 × 592,827
  4. Step 4: Simplify right side
    251,180x = 351,443,851,929
  5. Step 5: Solve for x
    x = 351,443,851,929/251,180
  6. Step 6: Final answer
    x = 1,399,171.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.