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Finding the Third Proportional to 266,209 and 581,544

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Solution

The third proportional to 266,209 and 581,544 is: 1,270,405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,209 : 581,544 = 581,544 : x
  2. Step 2: Convert to fraction form
    266,209/581,544 = 581,544/x
  3. Step 3: Cross multiply
    266,209x = 581,544 × 581,544
  4. Step 4: Simplify right side
    266,209x = 338,193,423,936
  5. Step 5: Solve for x
    x = 338,193,423,936/266,209
  6. Step 6: Final answer
    x = 1,270,405.67

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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.