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Finding the Third Proportional to 444,331.50 and 634,949.75

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Solution

The third proportional to 444,331.50 and 634,949.75 is: 907,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,331.50 : 634,949.75 = 634,949.75 : x
  2. Step 2: Convert to fraction form
    444,331.50/634,949.75 = 634,949.75/x
  3. Step 3: Cross multiply
    444,331.50x = 634,949.75 × 634,949.75
  4. Step 4: Simplify right side
    444,331.50x = 403,161,185,025.06
  5. Step 5: Solve for x
    x = 403,161,185,025.06/444,331.50
  6. Step 6: Final answer
    x = 907,343.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.