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Finding the Third Proportional to 287,120 and 588,568

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Solution

The third proportional to 287,120 and 588,568 is: 1,206,507.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,120 : 588,568 = 588,568 : x
  2. Step 2: Convert to fraction form
    287,120/588,568 = 588,568/x
  3. Step 3: Cross multiply
    287,120x = 588,568 × 588,568
  4. Step 4: Simplify right side
    287,120x = 346,412,290,624
  5. Step 5: Solve for x
    x = 346,412,290,624/287,120
  6. Step 6: Final answer
    x = 1,206,507.00

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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.