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Finding the Third Proportional to 374,885.88 and 823,077.07

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Solution

The third proportional to 374,885.88 and 823,077.07 is: 1,807,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,885.88 : 823,077.07 = 823,077.07 : x
  2. Step 2: Convert to fraction form
    374,885.88/823,077.07 = 823,077.07/x
  3. Step 3: Cross multiply
    374,885.88x = 823,077.07 × 823,077.07
  4. Step 4: Simplify right side
    374,885.88x = 677,455,863,674.21
  5. Step 5: Solve for x
    x = 677,455,863,674.21/374,885.88
  6. Step 6: Final answer
    x = 1,807,098.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.