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Finding the Third Proportional to 878.06 and 1,607.06

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Solution

The third proportional to 878.06 and 1,607.06 is: 2,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.06 : 1,607.06 = 1,607.06 : x
  2. Step 2: Convert to fraction form
    878.06/1,607.06 = 1,607.06/x
  3. Step 3: Cross multiply
    878.06x = 1,607.06 × 1,607.06
  4. Step 4: Simplify right side
    878.06x = 2,582,649.88
  5. Step 5: Solve for x
    x = 2,582,649.88/878.06
  6. Step 6: Final answer
    x = 2,941.31

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.