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Finding the Third Proportional to 384,631.03 and 825,337.69

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Solution

The third proportional to 384,631.03 and 825,337.69 is: 1,771,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,631.03 : 825,337.69 = 825,337.69 : x
  2. Step 2: Convert to fraction form
    384,631.03/825,337.69 = 825,337.69/x
  3. Step 3: Cross multiply
    384,631.03x = 825,337.69 × 825,337.69
  4. Step 4: Simplify right side
    384,631.03x = 681,182,298,407.85
  5. Step 5: Solve for x
    x = 681,182,298,407.85/384,631.03
  6. Step 6: Final answer
    x = 1,771,001.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.