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Finding the Third Proportional to 460,471.50 and 635,917.50

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Solution

The third proportional to 460,471.50 and 635,917.50 is: 878,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,471.50 : 635,917.50 = 635,917.50 : x
  2. Step 2: Convert to fraction form
    460,471.50/635,917.50 = 635,917.50/x
  3. Step 3: Cross multiply
    460,471.50x = 635,917.50 × 635,917.50
  4. Step 4: Simplify right side
    460,471.50x = 404,391,066,806.25
  5. Step 5: Solve for x
    x = 404,391,066,806.25/460,471.50
  6. Step 6: Final answer
    x = 878,210.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.