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Finding the Third Proportional to 260,466 and 552,906

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Solution

The third proportional to 260,466 and 552,906 is: 1,173,685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,466 : 552,906 = 552,906 : x
  2. Step 2: Convert to fraction form
    260,466/552,906 = 552,906/x
  3. Step 3: Cross multiply
    260,466x = 552,906 × 552,906
  4. Step 4: Simplify right side
    260,466x = 305,705,044,836
  5. Step 5: Solve for x
    x = 305,705,044,836/260,466
  6. Step 6: Final answer
    x = 1,173,685.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.