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Finding the Third Proportional to 384,812 and 591,978

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Solution

The third proportional to 384,812 and 591,978 is: 910,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,812 : 591,978 = 591,978 : x
  2. Step 2: Convert to fraction form
    384,812/591,978 = 591,978/x
  3. Step 3: Cross multiply
    384,812x = 591,978 × 591,978
  4. Step 4: Simplify right side
    384,812x = 350,437,952,484
  5. Step 5: Solve for x
    x = 350,437,952,484/384,812
  6. Step 6: Final answer
    x = 910,673.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.