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Finding the Third Proportional to 374,071.29 and 810,654.33

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Solution

The third proportional to 374,071.29 and 810,654.33 is: 1,756,778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,071.29 : 810,654.33 = 810,654.33 : x
  2. Step 2: Convert to fraction form
    374,071.29/810,654.33 = 810,654.33/x
  3. Step 3: Cross multiply
    374,071.29x = 810,654.33 × 810,654.33
  4. Step 4: Simplify right side
    374,071.29x = 657,160,439,707.80
  5. Step 5: Solve for x
    x = 657,160,439,707.80/374,071.29
  6. Step 6: Final answer
    x = 1,756,778.61

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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.