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Finding the Third Proportional to 278,159 and 600,666

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Solution

The third proportional to 278,159 and 600,666 is: 1,297,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,159 : 600,666 = 600,666 : x
  2. Step 2: Convert to fraction form
    278,159/600,666 = 600,666/x
  3. Step 3: Cross multiply
    278,159x = 600,666 × 600,666
  4. Step 4: Simplify right side
    278,159x = 360,799,643,556
  5. Step 5: Solve for x
    x = 360,799,643,556/278,159
  6. Step 6: Final answer
    x = 1,297,098.58

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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.