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Finding the Third Proportional to 366,110.44 and 788,419.13

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Solution

The third proportional to 366,110.44 and 788,419.13 is: 1,697,861.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,110.44 : 788,419.13 = 788,419.13 : x
  2. Step 2: Convert to fraction form
    366,110.44/788,419.13 = 788,419.13/x
  3. Step 3: Cross multiply
    366,110.44x = 788,419.13 × 788,419.13
  4. Step 4: Simplify right side
    366,110.44x = 621,604,716,665.77
  5. Step 5: Solve for x
    x = 621,604,716,665.77/366,110.44
  6. Step 6: Final answer
    x = 1,697,861.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.