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Finding the Third Proportional to 698,230.13 and 1,067,635.69

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Solution

The third proportional to 698,230.13 and 1,067,635.69 is: 1,632,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,230.13 : 1,067,635.69 = 1,067,635.69 : x
  2. Step 2: Convert to fraction form
    698,230.13/1,067,635.69 = 1,067,635.69/x
  3. Step 3: Cross multiply
    698,230.13x = 1,067,635.69 × 1,067,635.69
  4. Step 4: Simplify right side
    698,230.13x = 1,139,845,961,223.60
  5. Step 5: Solve for x
    x = 1,139,845,961,223.60/698,230.13
  6. Step 6: Final answer
    x = 1,632,478.92

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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.