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Finding the Third Proportional to 404,474.34 and 877,701.66

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Solution

The third proportional to 404,474.34 and 877,701.66 is: 1,904,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,474.34 : 877,701.66 = 877,701.66 : x
  2. Step 2: Convert to fraction form
    404,474.34/877,701.66 = 877,701.66/x
  3. Step 3: Cross multiply
    404,474.34x = 877,701.66 × 877,701.66
  4. Step 4: Simplify right side
    404,474.34x = 770,360,197,383.99
  5. Step 5: Solve for x
    x = 770,360,197,383.99/404,474.34
  6. Step 6: Final answer
    x = 1,904,595.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.