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Finding the Third Proportional to 462,849.75 and 699,195.38

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Solution

The third proportional to 462,849.75 and 699,195.38 is: 1,056,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,849.75 : 699,195.38 = 699,195.38 : x
  2. Step 2: Convert to fraction form
    462,849.75/699,195.38 = 699,195.38/x
  3. Step 3: Cross multiply
    462,849.75x = 699,195.38 × 699,195.38
  4. Step 4: Simplify right side
    462,849.75x = 488,874,172,421.39
  5. Step 5: Solve for x
    x = 488,874,172,421.39/462,849.75
  6. Step 6: Final answer
    x = 1,056,226.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.