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Finding the Third Proportional to 591,932.81 and 1,278,448.31

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Solution

The third proportional to 591,932.81 and 1,278,448.31 is: 2,761,175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,932.81 : 1,278,448.31 = 1,278,448.31 : x
  2. Step 2: Convert to fraction form
    591,932.81/1,278,448.31 = 1,278,448.31/x
  3. Step 3: Cross multiply
    591,932.81x = 1,278,448.31 × 1,278,448.31
  4. Step 4: Simplify right side
    591,932.81x = 1,634,430,087,734.10
  5. Step 5: Solve for x
    x = 1,634,430,087,734.10/591,932.81
  6. Step 6: Final answer
    x = 2,761,175.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.