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Finding the Third Proportional to 425,694 and 634,851

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Solution

The third proportional to 425,694 and 634,851 is: 946,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,694 : 634,851 = 634,851 : x
  2. Step 2: Convert to fraction form
    425,694/634,851 = 634,851/x
  3. Step 3: Cross multiply
    425,694x = 634,851 × 634,851
  4. Step 4: Simplify right side
    425,694x = 403,035,792,201
  5. Step 5: Solve for x
    x = 403,035,792,201/425,694
  6. Step 6: Final answer
    x = 946,773.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.