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Finding the Third Proportional to 426,594.75 and 905,677.50

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Solution

The third proportional to 426,594.75 and 905,677.50 is: 1,922,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,594.75 : 905,677.50 = 905,677.50 : x
  2. Step 2: Convert to fraction form
    426,594.75/905,677.50 = 905,677.50/x
  3. Step 3: Cross multiply
    426,594.75x = 905,677.50 × 905,677.50
  4. Step 4: Simplify right side
    426,594.75x = 820,251,734,006.25
  5. Step 5: Solve for x
    x = 820,251,734,006.25/426,594.75
  6. Step 6: Final answer
    x = 1,922,789.10

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.