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Finding the Third Proportional to 378,362 and 567,597

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Solution

The third proportional to 378,362 and 567,597 is: 851,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,362 : 567,597 = 567,597 : x
  2. Step 2: Convert to fraction form
    378,362/567,597 = 567,597/x
  3. Step 3: Cross multiply
    378,362x = 567,597 × 567,597
  4. Step 4: Simplify right side
    378,362x = 322,166,354,409
  5. Step 5: Solve for x
    x = 322,166,354,409/378,362
  6. Step 6: Final answer
    x = 851,476.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.