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Finding the Third Proportional to 366,535.13 and 777,311.44

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Solution

The third proportional to 366,535.13 and 777,311.44 is: 1,648,445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,535.13 : 777,311.44 = 777,311.44 : x
  2. Step 2: Convert to fraction form
    366,535.13/777,311.44 = 777,311.44/x
  3. Step 3: Cross multiply
    366,535.13x = 777,311.44 × 777,311.44
  4. Step 4: Simplify right side
    366,535.13x = 604,213,070,868.32
  5. Step 5: Solve for x
    x = 604,213,070,868.32/366,535.13
  6. Step 6: Final answer
    x = 1,648,445.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.