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Finding the Third Proportional to 415,042.50 and 906,970.50

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Solution

The third proportional to 415,042.50 and 906,970.50 is: 1,981,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,042.50 : 906,970.50 = 906,970.50 : x
  2. Step 2: Convert to fraction form
    415,042.50/906,970.50 = 906,970.50/x
  3. Step 3: Cross multiply
    415,042.50x = 906,970.50 × 906,970.50
  4. Step 4: Simplify right side
    415,042.50x = 822,595,487,870.25
  5. Step 5: Solve for x
    x = 822,595,487,870.25/415,042.50
  6. Step 6: Final answer
    x = 1,981,954.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.