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Finding the Third Proportional to 444,339 and 634,957

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Solution

The third proportional to 444,339 and 634,957 is: 907,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,339 : 634,957 = 634,957 : x
  2. Step 2: Convert to fraction form
    444,339/634,957 = 634,957/x
  3. Step 3: Cross multiply
    444,339x = 634,957 × 634,957
  4. Step 4: Simplify right side
    444,339x = 403,170,391,849
  5. Step 5: Solve for x
    x = 403,170,391,849/444,339
  6. Step 6: Final answer
    x = 907,348.65

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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.