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Finding the Third Proportional to 250,878 and 542,649

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Solution

The third proportional to 250,878 and 542,649 is: 1,173,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,878 : 542,649 = 542,649 : x
  2. Step 2: Convert to fraction form
    250,878/542,649 = 542,649/x
  3. Step 3: Cross multiply
    250,878x = 542,649 × 542,649
  4. Step 4: Simplify right side
    250,878x = 294,467,937,201
  5. Step 5: Solve for x
    x = 294,467,937,201/250,878
  6. Step 6: Final answer
    x = 1,173,749.54

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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.