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Finding the Third Proportional to 378,650 and 820,385.50

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Solution

The third proportional to 378,650 and 820,385.50 is: 1,777,452.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,650 : 820,385.50 = 820,385.50 : x
  2. Step 2: Convert to fraction form
    378,650/820,385.50 = 820,385.50/x
  3. Step 3: Cross multiply
    378,650x = 820,385.50 × 820,385.50
  4. Step 4: Simplify right side
    378,650x = 673,032,368,610.25
  5. Step 5: Solve for x
    x = 673,032,368,610.25/378,650
  6. Step 6: Final answer
    x = 1,777,452.45

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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.