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Finding the Third Proportional to 468,767.25 and 663,735.75

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Solution

The third proportional to 468,767.25 and 663,735.75 is: 939,795.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,767.25 : 663,735.75 = 663,735.75 : x
  2. Step 2: Convert to fraction form
    468,767.25/663,735.75 = 663,735.75/x
  3. Step 3: Cross multiply
    468,767.25x = 663,735.75 × 663,735.75
  4. Step 4: Simplify right side
    468,767.25x = 440,545,145,828.06
  5. Step 5: Solve for x
    x = 440,545,145,828.06/468,767.25
  6. Step 6: Final answer
    x = 939,795.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.