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Finding the Third Proportional to 266,104 and 569,104

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Solution

The third proportional to 266,104 and 569,104 is: 1,217,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,104 : 569,104 = 569,104 : x
  2. Step 2: Convert to fraction form
    266,104/569,104 = 569,104/x
  3. Step 3: Cross multiply
    266,104x = 569,104 × 569,104
  4. Step 4: Simplify right side
    266,104x = 323,879,362,816
  5. Step 5: Solve for x
    x = 323,879,362,816/266,104
  6. Step 6: Final answer
    x = 1,217,115.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.