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Finding the Third Proportional to 404,240.63 and 857,769.75

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Solution

The third proportional to 404,240.63 and 857,769.75 is: 1,820,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,240.63 : 857,769.75 = 857,769.75 : x
  2. Step 2: Convert to fraction form
    404,240.63/857,769.75 = 857,769.75/x
  3. Step 3: Cross multiply
    404,240.63x = 857,769.75 × 857,769.75
  4. Step 4: Simplify right side
    404,240.63x = 735,768,944,015.06
  5. Step 5: Solve for x
    x = 735,768,944,015.06/404,240.63
  6. Step 6: Final answer
    x = 1,820,126.18

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Why These Related Problems?

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