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Finding the Third Proportional to 599,656 and 911,760

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Solution

The third proportional to 599,656 and 911,760 is: 1,386,305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,656 : 911,760 = 911,760 : x
  2. Step 2: Convert to fraction form
    599,656/911,760 = 911,760/x
  3. Step 3: Cross multiply
    599,656x = 911,760 × 911,760
  4. Step 4: Simplify right side
    599,656x = 831,306,297,600
  5. Step 5: Solve for x
    x = 831,306,297,600/599,656
  6. Step 6: Final answer
    x = 1,386,305.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.