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Finding the Third Proportional to 485,605.50 and 990,471

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Solution

The third proportional to 485,605.50 and 990,471 is: 2,020,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,605.50 : 990,471 = 990,471 : x
  2. Step 2: Convert to fraction form
    485,605.50/990,471 = 990,471/x
  3. Step 3: Cross multiply
    485,605.50x = 990,471 × 990,471
  4. Step 4: Simplify right side
    485,605.50x = 981,032,801,841
  5. Step 5: Solve for x
    x = 981,032,801,841/485,605.50
  6. Step 6: Final answer
    x = 2,020,225.89

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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.