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Finding the Third Proportional to 364,765.88 and 582,721.31

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Solution

The third proportional to 364,765.88 and 582,721.31 is: 930,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,765.88 : 582,721.31 = 582,721.31 : x
  2. Step 2: Convert to fraction form
    364,765.88/582,721.31 = 582,721.31/x
  3. Step 3: Cross multiply
    364,765.88x = 582,721.31 × 582,721.31
  4. Step 4: Simplify right side
    364,765.88x = 339,564,128,041.72
  5. Step 5: Solve for x
    x = 339,564,128,041.72/364,765.88
  6. Step 6: Final answer
    x = 930,909.80

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.