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Finding the Third Proportional to 681,979.50 and 1,032,446.25

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Solution

The third proportional to 681,979.50 and 1,032,446.25 is: 1,563,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,979.50 : 1,032,446.25 = 1,032,446.25 : x
  2. Step 2: Convert to fraction form
    681,979.50/1,032,446.25 = 1,032,446.25/x
  3. Step 3: Cross multiply
    681,979.50x = 1,032,446.25 × 1,032,446.25
  4. Step 4: Simplify right side
    681,979.50x = 1,065,945,259,139.06
  5. Step 5: Solve for x
    x = 1,065,945,259,139.06/681,979.50
  6. Step 6: Final answer
    x = 1,563,016.57

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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.