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Finding the Third Proportional to 260,352 and 527,946

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Solution

The third proportional to 260,352 and 527,946 is: 1,070,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,352 : 527,946 = 527,946 : x
  2. Step 2: Convert to fraction form
    260,352/527,946 = 527,946/x
  3. Step 3: Cross multiply
    260,352x = 527,946 × 527,946
  4. Step 4: Simplify right side
    260,352x = 278,726,978,916
  5. Step 5: Solve for x
    x = 278,726,978,916/260,352
  6. Step 6: Final answer
    x = 1,070,577.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.