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Finding the Third Proportional to 316,357.50 and 680,721.75

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Solution

The third proportional to 316,357.50 and 680,721.75 is: 1,464,741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,357.50 : 680,721.75 = 680,721.75 : x
  2. Step 2: Convert to fraction form
    316,357.50/680,721.75 = 680,721.75/x
  3. Step 3: Cross multiply
    316,357.50x = 680,721.75 × 680,721.75
  4. Step 4: Simplify right side
    316,357.50x = 463,382,100,923.06
  5. Step 5: Solve for x
    x = 463,382,100,923.06/316,357.50
  6. Step 6: Final answer
    x = 1,464,741.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.