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Finding the Third Proportional to 444,145.50 and 663,258.75

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Solution

The third proportional to 444,145.50 and 663,258.75 is: 990,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,145.50 : 663,258.75 = 663,258.75 : x
  2. Step 2: Convert to fraction form
    444,145.50/663,258.75 = 663,258.75/x
  3. Step 3: Cross multiply
    444,145.50x = 663,258.75 × 663,258.75
  4. Step 4: Simplify right side
    444,145.50x = 439,912,169,451.56
  5. Step 5: Solve for x
    x = 439,912,169,451.56/444,145.50
  6. Step 6: Final answer
    x = 990,468.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.