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Finding the Third Proportional to 250,918 and 542,732

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Solution

The third proportional to 250,918 and 542,732 is: 1,173,921.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,918 : 542,732 = 542,732 : x
  2. Step 2: Convert to fraction form
    250,918/542,732 = 542,732/x
  3. Step 3: Cross multiply
    250,918x = 542,732 × 542,732
  4. Step 4: Simplify right side
    250,918x = 294,558,023,824
  5. Step 5: Solve for x
    x = 294,558,023,824/250,918
  6. Step 6: Final answer
    x = 1,173,921.46

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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.