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Finding the Third Proportional to 266,210 and 581,546

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Solution

The third proportional to 266,210 and 581,546 is: 1,270,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,210 : 581,546 = 581,546 : x
  2. Step 2: Convert to fraction form
    266,210/581,546 = 581,546/x
  3. Step 3: Cross multiply
    266,210x = 581,546 × 581,546
  4. Step 4: Simplify right side
    266,210x = 338,195,750,116
  5. Step 5: Solve for x
    x = 338,195,750,116/266,210
  6. Step 6: Final answer
    x = 1,270,409.64

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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.