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Finding the Third Proportional to 444,329 and 634,946

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Solution

The third proportional to 444,329 and 634,946 is: 907,337.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,329 : 634,946 = 634,946 : x
  2. Step 2: Convert to fraction form
    444,329/634,946 = 634,946/x
  3. Step 3: Cross multiply
    444,329x = 634,946 × 634,946
  4. Step 4: Simplify right side
    444,329x = 403,156,422,916
  5. Step 5: Solve for x
    x = 403,156,422,916/444,329
  6. Step 6: Final answer
    x = 907,337.63

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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.