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Finding the Third Proportional to 698,366.81 and 1,067,855.91

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Solution

The third proportional to 698,366.81 and 1,067,855.91 is: 1,632,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,366.81 : 1,067,855.91 = 1,067,855.91 : x
  2. Step 2: Convert to fraction form
    698,366.81/1,067,855.91 = 1,067,855.91/x
  3. Step 3: Cross multiply
    698,366.81x = 1,067,855.91 × 1,067,855.91
  4. Step 4: Simplify right side
    698,366.81x = 1,140,316,236,513.01
  5. Step 5: Solve for x
    x = 1,140,316,236,513.01/698,366.81
  6. Step 6: Final answer
    x = 1,632,832.80

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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.