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Finding the Third Proportional to 260,294 and 527,832

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Solution

The third proportional to 260,294 and 527,832 is: 1,070,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,294 : 527,832 = 527,832 : x
  2. Step 2: Convert to fraction form
    260,294/527,832 = 527,832/x
  3. Step 3: Cross multiply
    260,294x = 527,832 × 527,832
  4. Step 4: Simplify right side
    260,294x = 278,606,620,224
  5. Step 5: Solve for x
    x = 278,606,620,224/260,294
  6. Step 6: Final answer
    x = 1,070,353.60

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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.