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Finding the Third Proportional to 314,973.56 and 691,183.13

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Solution

The third proportional to 314,973.56 and 691,183.13 is: 1,516,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,973.56 : 691,183.13 = 691,183.13 : x
  2. Step 2: Convert to fraction form
    314,973.56/691,183.13 = 691,183.13/x
  3. Step 3: Cross multiply
    314,973.56x = 691,183.13 × 691,183.13
  4. Step 4: Simplify right side
    314,973.56x = 477,734,112,284.77
  5. Step 5: Solve for x
    x = 477,734,112,284.77/314,973.56
  6. Step 6: Final answer
    x = 1,516,743.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.