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Finding the Third Proportional to 425,661.75 and 634,799.25

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Solution

The third proportional to 425,661.75 and 634,799.25 is: 946,690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,661.75 : 634,799.25 = 634,799.25 : x
  2. Step 2: Convert to fraction form
    425,661.75/634,799.25 = 634,799.25/x
  3. Step 3: Cross multiply
    425,661.75x = 634,799.25 × 634,799.25
  4. Step 4: Simplify right side
    425,661.75x = 402,970,087,800.56
  5. Step 5: Solve for x
    x = 402,970,087,800.56/425,661.75
  6. Step 6: Final answer
    x = 946,690.86

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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.