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Finding the Third Proportional to 287,166 and 588,660

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Solution

The third proportional to 287,166 and 588,660 is: 1,206,690.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,166 : 588,660 = 588,660 : x
  2. Step 2: Convert to fraction form
    287,166/588,660 = 588,660/x
  3. Step 3: Cross multiply
    287,166x = 588,660 × 588,660
  4. Step 4: Simplify right side
    287,166x = 346,520,595,600
  5. Step 5: Solve for x
    x = 346,520,595,600/287,166
  6. Step 6: Final answer
    x = 1,206,690.89

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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.