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Finding the Third Proportional to 420,378 and 634,925

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Solution

The third proportional to 420,378 and 634,925 is: 958,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,378 : 634,925 = 634,925 : x
  2. Step 2: Convert to fraction form
    420,378/634,925 = 634,925/x
  3. Step 3: Cross multiply
    420,378x = 634,925 × 634,925
  4. Step 4: Simplify right side
    420,378x = 403,129,755,625
  5. Step 5: Solve for x
    x = 403,129,755,625/420,378
  6. Step 6: Final answer
    x = 958,969.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.