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Finding the Third Proportional to 590,246.44 and 881,713.69

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Solution

The third proportional to 590,246.44 and 881,713.69 is: 1,317,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,246.44 : 881,713.69 = 881,713.69 : x
  2. Step 2: Convert to fraction form
    590,246.44/881,713.69 = 881,713.69/x
  3. Step 3: Cross multiply
    590,246.44x = 881,713.69 × 881,713.69
  4. Step 4: Simplify right side
    590,246.44x = 777,419,026,724.85
  5. Step 5: Solve for x
    x = 777,419,026,724.85/590,246.44
  6. Step 6: Final answer
    x = 1,317,109.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.