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Finding the Third Proportional to 462,647.25 and 707,091.75

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Solution

The third proportional to 462,647.25 and 707,091.75 is: 1,080,691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,647.25 : 707,091.75 = 707,091.75 : x
  2. Step 2: Convert to fraction form
    462,647.25/707,091.75 = 707,091.75/x
  3. Step 3: Cross multiply
    462,647.25x = 707,091.75 × 707,091.75
  4. Step 4: Simplify right side
    462,647.25x = 499,978,742,918.06
  5. Step 5: Solve for x
    x = 499,978,742,918.06/462,647.25
  6. Step 6: Final answer
    x = 1,080,691.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.