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Finding the Third Proportional to 266,214 and 581,772

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Solution

The third proportional to 266,214 and 581,772 is: 1,271,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,214 : 581,772 = 581,772 : x
  2. Step 2: Convert to fraction form
    266,214/581,772 = 581,772/x
  3. Step 3: Cross multiply
    266,214x = 581,772 × 581,772
  4. Step 4: Simplify right side
    266,214x = 338,458,659,984
  5. Step 5: Solve for x
    x = 338,458,659,984/266,214
  6. Step 6: Final answer
    x = 1,271,378.14

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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.