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Finding the Third Proportional to 360,446.54 and 788,223.42

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Solution

The third proportional to 360,446.54 and 788,223.42 is: 1,723,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,446.54 : 788,223.42 = 788,223.42 : x
  2. Step 2: Convert to fraction form
    360,446.54/788,223.42 = 788,223.42/x
  3. Step 3: Cross multiply
    360,446.54x = 788,223.42 × 788,223.42
  4. Step 4: Simplify right side
    360,446.54x = 621,296,158,173.90
  5. Step 5: Solve for x
    x = 621,296,158,173.90/360,446.54
  6. Step 6: Final answer
    x = 1,723,684.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.