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Finding the Third Proportional to 582,414.75 and 893,967.75

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Solution

The third proportional to 582,414.75 and 893,967.75 is: 1,372,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,414.75 : 893,967.75 = 893,967.75 : x
  2. Step 2: Convert to fraction form
    582,414.75/893,967.75 = 893,967.75/x
  3. Step 3: Cross multiply
    582,414.75x = 893,967.75 × 893,967.75
  4. Step 4: Simplify right side
    582,414.75x = 799,178,338,040.06
  5. Step 5: Solve for x
    x = 799,178,338,040.06/582,414.75
  6. Step 6: Final answer
    x = 1,372,180.80

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.