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Finding the Third Proportional to 659,222.25 and 990,588

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Solution

The third proportional to 659,222.25 and 990,588 is: 1,488,518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,222.25 : 990,588 = 990,588 : x
  2. Step 2: Convert to fraction form
    659,222.25/990,588 = 990,588/x
  3. Step 3: Cross multiply
    659,222.25x = 990,588 × 990,588
  4. Step 4: Simplify right side
    659,222.25x = 981,264,585,744
  5. Step 5: Solve for x
    x = 981,264,585,744/659,222.25
  6. Step 6: Final answer
    x = 1,488,518.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.