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Finding the Third Proportional to 460,864.50 and 940,026.75

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Solution

The third proportional to 460,864.50 and 940,026.75 is: 1,917,375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,864.50 : 940,026.75 = 940,026.75 : x
  2. Step 2: Convert to fraction form
    460,864.50/940,026.75 = 940,026.75/x
  3. Step 3: Cross multiply
    460,864.50x = 940,026.75 × 940,026.75
  4. Step 4: Simplify right side
    460,864.50x = 883,650,290,715.56
  5. Step 5: Solve for x
    x = 883,650,290,715.56/460,864.50
  6. Step 6: Final answer
    x = 1,917,375.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.