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Finding the Third Proportional to 266,184 and 581,680

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Solution

The third proportional to 266,184 and 581,680 is: 1,271,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,184 : 581,680 = 581,680 : x
  2. Step 2: Convert to fraction form
    266,184/581,680 = 581,680/x
  3. Step 3: Cross multiply
    266,184x = 581,680 × 581,680
  4. Step 4: Simplify right side
    266,184x = 338,351,622,400
  5. Step 5: Solve for x
    x = 338,351,622,400/266,184
  6. Step 6: Final answer
    x = 1,271,119.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.