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Finding the Third Proportional to 425,673 and 634,819.50

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Solution

The third proportional to 425,673 and 634,819.50 is: 946,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,673 : 634,819.50 = 634,819.50 : x
  2. Step 2: Convert to fraction form
    425,673/634,819.50 = 634,819.50/x
  3. Step 3: Cross multiply
    425,673x = 634,819.50 × 634,819.50
  4. Step 4: Simplify right side
    425,673x = 402,995,797,580.25
  5. Step 5: Solve for x
    x = 402,995,797,580.25/425,673
  6. Step 6: Final answer
    x = 946,726.24

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