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Finding the Third Proportional to 440,867.81 and 659,590.59

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Solution

The third proportional to 440,867.81 and 659,590.59 is: 986,825.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,867.81 : 659,590.59 = 659,590.59 : x
  2. Step 2: Convert to fraction form
    440,867.81/659,590.59 = 659,590.59/x
  3. Step 3: Cross multiply
    440,867.81x = 659,590.59 × 659,590.59
  4. Step 4: Simplify right side
    440,867.81x = 435,059,751,363.48
  5. Step 5: Solve for x
    x = 435,059,751,363.48/440,867.81
  6. Step 6: Final answer
    x = 986,825.84

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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.