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Finding the Third Proportional to 460,272.38 and 984,514.50

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Solution

The third proportional to 460,272.38 and 984,514.50 is: 2,105,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,272.38 : 984,514.50 = 984,514.50 : x
  2. Step 2: Convert to fraction form
    460,272.38/984,514.50 = 984,514.50/x
  3. Step 3: Cross multiply
    460,272.38x = 984,514.50 × 984,514.50
  4. Step 4: Simplify right side
    460,272.38x = 969,268,800,710.25
  5. Step 5: Solve for x
    x = 969,268,800,710.25/460,272.38
  6. Step 6: Final answer
    x = 2,105,859.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.