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Finding the Third Proportional to 444,331 and 634,949

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Solution

The third proportional to 444,331 and 634,949 is: 907,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,331 : 634,949 = 634,949 : x
  2. Step 2: Convert to fraction form
    444,331/634,949 = 634,949/x
  3. Step 3: Cross multiply
    444,331x = 634,949 × 634,949
  4. Step 4: Simplify right side
    444,331x = 403,160,232,601
  5. Step 5: Solve for x
    x = 403,160,232,601/444,331
  6. Step 6: Final answer
    x = 907,342.12

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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.