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Finding the Third Proportional to 314,434.13 and 678,660.75

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Solution

The third proportional to 314,434.13 and 678,660.75 is: 1,464,791.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,434.13 : 678,660.75 = 678,660.75 : x
  2. Step 2: Convert to fraction form
    314,434.13/678,660.75 = 678,660.75/x
  3. Step 3: Cross multiply
    314,434.13x = 678,660.75 × 678,660.75
  4. Step 4: Simplify right side
    314,434.13x = 460,580,413,590.56
  5. Step 5: Solve for x
    x = 460,580,413,590.56/314,434.13
  6. Step 6: Final answer
    x = 1,464,791.44

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