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Finding the Third Proportional to 444,028.50 and 693,265.50

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Solution

The third proportional to 444,028.50 and 693,265.50 is: 1,082,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,028.50 : 693,265.50 = 693,265.50 : x
  2. Step 2: Convert to fraction form
    444,028.50/693,265.50 = 693,265.50/x
  3. Step 3: Cross multiply
    444,028.50x = 693,265.50 × 693,265.50
  4. Step 4: Simplify right side
    444,028.50x = 480,617,053,490.25
  5. Step 5: Solve for x
    x = 480,617,053,490.25/444,028.50
  6. Step 6: Final answer
    x = 1,082,401.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.