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Finding the Third Proportional to 444,280.50 and 634,873.50

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Solution

The third proportional to 444,280.50 and 634,873.50 is: 907,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,280.50 : 634,873.50 = 634,873.50 : x
  2. Step 2: Convert to fraction form
    444,280.50/634,873.50 = 634,873.50/x
  3. Step 3: Cross multiply
    444,280.50x = 634,873.50 × 634,873.50
  4. Step 4: Simplify right side
    444,280.50x = 403,064,361,002.25
  5. Step 5: Solve for x
    x = 403,064,361,002.25/444,280.50
  6. Step 6: Final answer
    x = 907,229.47

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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.