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Finding the Third Proportional to 260,433 and 552,853

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Solution

The third proportional to 260,433 and 552,853 is: 1,173,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,433 : 552,853 = 552,853 : x
  2. Step 2: Convert to fraction form
    260,433/552,853 = 552,853/x
  3. Step 3: Cross multiply
    260,433x = 552,853 × 552,853
  4. Step 4: Simplify right side
    260,433x = 305,646,439,609
  5. Step 5: Solve for x
    x = 305,646,439,609/260,433
  6. Step 6: Final answer
    x = 1,173,608.72

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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.