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Finding the Third Proportional to 398,590.88 and 850,398.75

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Solution

The third proportional to 398,590.88 and 850,398.75 is: 1,814,336.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,590.88 : 850,398.75 = 850,398.75 : x
  2. Step 2: Convert to fraction form
    398,590.88/850,398.75 = 850,398.75/x
  3. Step 3: Cross multiply
    398,590.88x = 850,398.75 × 850,398.75
  4. Step 4: Simplify right side
    398,590.88x = 723,178,034,001.56
  5. Step 5: Solve for x
    x = 723,178,034,001.56/398,590.88
  6. Step 6: Final answer
    x = 1,814,336.65

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.