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Finding the Third Proportional to 287,169 and 588,666

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Solution

The third proportional to 287,169 and 588,666 is: 1,206,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,169 : 588,666 = 588,666 : x
  2. Step 2: Convert to fraction form
    287,169/588,666 = 588,666/x
  3. Step 3: Cross multiply
    287,169x = 588,666 × 588,666
  4. Step 4: Simplify right side
    287,169x = 346,527,659,556
  5. Step 5: Solve for x
    x = 346,527,659,556/287,169
  6. Step 6: Final answer
    x = 1,206,702.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.