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Finding the Third Proportional to 250,886 and 542,666

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Solution

The third proportional to 250,886 and 542,666 is: 1,173,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,886 : 542,666 = 542,666 : x
  2. Step 2: Convert to fraction form
    250,886/542,666 = 542,666/x
  3. Step 3: Cross multiply
    250,886x = 542,666 × 542,666
  4. Step 4: Simplify right side
    250,886x = 294,486,387,556
  5. Step 5: Solve for x
    x = 294,486,387,556/250,886
  6. Step 6: Final answer
    x = 1,173,785.65

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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.