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Finding the Third Proportional to 260,156 and 527,488.50

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Solution

The third proportional to 260,156 and 527,488.50 is: 1,069,527.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,156 : 527,488.50 = 527,488.50 : x
  2. Step 2: Convert to fraction form
    260,156/527,488.50 = 527,488.50/x
  3. Step 3: Cross multiply
    260,156x = 527,488.50 × 527,488.50
  4. Step 4: Simplify right side
    260,156x = 278,244,117,632.25
  5. Step 5: Solve for x
    x = 278,244,117,632.25/260,156
  6. Step 6: Final answer
    x = 1,069,527.97

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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.