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Finding the Third Proportional to 266,868 and 586,219.50

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Solution

The third proportional to 266,868 and 586,219.50 is: 1,287,727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,868 : 586,219.50 = 586,219.50 : x
  2. Step 2: Convert to fraction form
    266,868/586,219.50 = 586,219.50/x
  3. Step 3: Cross multiply
    266,868x = 586,219.50 × 586,219.50
  4. Step 4: Simplify right side
    266,868x = 343,653,302,180.25
  5. Step 5: Solve for x
    x = 343,653,302,180.25/266,868
  6. Step 6: Final answer
    x = 1,287,727.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.