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Finding the Third Proportional to 582,978 and 857,793

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Solution

The third proportional to 582,978 and 857,793 is: 1,262,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,978 : 857,793 = 857,793 : x
  2. Step 2: Convert to fraction form
    582,978/857,793 = 857,793/x
  3. Step 3: Cross multiply
    582,978x = 857,793 × 857,793
  4. Step 4: Simplify right side
    582,978x = 735,808,830,849
  5. Step 5: Solve for x
    x = 735,808,830,849/582,978
  6. Step 6: Final answer
    x = 1,262,155.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.