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Finding the Third Proportional to 266,215 and 581,557

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Solution

The third proportional to 266,215 and 581,557 is: 1,270,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,215 : 581,557 = 581,557 : x
  2. Step 2: Convert to fraction form
    266,215/581,557 = 581,557/x
  3. Step 3: Cross multiply
    266,215x = 581,557 × 581,557
  4. Step 4: Simplify right side
    266,215x = 338,208,544,249
  5. Step 5: Solve for x
    x = 338,208,544,249/266,215
  6. Step 6: Final answer
    x = 1,270,433.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.