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Finding the Third Proportional to 260,434 and 552,855

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Solution

The third proportional to 260,434 and 552,855 is: 1,173,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,434 : 552,855 = 552,855 : x
  2. Step 2: Convert to fraction form
    260,434/552,855 = 552,855/x
  3. Step 3: Cross multiply
    260,434x = 552,855 × 552,855
  4. Step 4: Simplify right side
    260,434x = 305,648,651,025
  5. Step 5: Solve for x
    x = 305,648,651,025/260,434
  6. Step 6: Final answer
    x = 1,173,612.70

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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.