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Finding the Third Proportional to 384,829.31 and 825,697.13

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Solution

The third proportional to 384,829.31 and 825,697.13 is: 1,771,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,829.31 : 825,697.13 = 825,697.13 : x
  2. Step 2: Convert to fraction form
    384,829.31/825,697.13 = 825,697.13/x
  3. Step 3: Cross multiply
    384,829.31x = 825,697.13 × 825,697.13
  4. Step 4: Simplify right side
    384,829.31x = 681,775,742,233.27
  5. Step 5: Solve for x
    x = 681,775,742,233.27/384,829.31
  6. Step 6: Final answer
    x = 1,771,631.53

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Why These Related Problems?

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