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Finding the Third Proportional to 584,586 and 876,960

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Solution

The third proportional to 584,586 and 876,960 is: 1,315,561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,586 : 876,960 = 876,960 : x
  2. Step 2: Convert to fraction form
    584,586/876,960 = 876,960/x
  3. Step 3: Cross multiply
    584,586x = 876,960 × 876,960
  4. Step 4: Simplify right side
    584,586x = 769,058,841,600
  5. Step 5: Solve for x
    x = 769,058,841,600/584,586
  6. Step 6: Final answer
    x = 1,315,561.51

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