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Finding the Third Proportional to 250,890 and 542,674

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Solution

The third proportional to 250,890 and 542,674 is: 1,173,801.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,890 : 542,674 = 542,674 : x
  2. Step 2: Convert to fraction form
    250,890/542,674 = 542,674/x
  3. Step 3: Cross multiply
    250,890x = 542,674 × 542,674
  4. Step 4: Simplify right side
    250,890x = 294,495,070,276
  5. Step 5: Solve for x
    x = 294,495,070,276/250,890
  6. Step 6: Final answer
    x = 1,173,801.55

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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.