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Finding the Third Proportional to 423,912.38 and 914,240.25

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Solution

The third proportional to 423,912.38 and 914,240.25 is: 1,971,717.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,912.38 : 914,240.25 = 914,240.25 : x
  2. Step 2: Convert to fraction form
    423,912.38/914,240.25 = 914,240.25/x
  3. Step 3: Cross multiply
    423,912.38x = 914,240.25 × 914,240.25
  4. Step 4: Simplify right side
    423,912.38x = 835,835,234,720.06
  5. Step 5: Solve for x
    x = 835,835,234,720.06/423,912.38
  6. Step 6: Final answer
    x = 1,971,717.00

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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.