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Finding the Third Proportional to 417,701 and 857,535

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Solution

The third proportional to 417,701 and 857,535 is: 1,760,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,701 : 857,535 = 857,535 : x
  2. Step 2: Convert to fraction form
    417,701/857,535 = 857,535/x
  3. Step 3: Cross multiply
    417,701x = 857,535 × 857,535
  4. Step 4: Simplify right side
    417,701x = 735,366,276,225
  5. Step 5: Solve for x
    x = 735,366,276,225/417,701
  6. Step 6: Final answer
    x = 1,760,508.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.