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Finding the Third Proportional to 266,336 and 572,200

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Solution

The third proportional to 266,336 and 572,200 is: 1,229,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,336 : 572,200 = 572,200 : x
  2. Step 2: Convert to fraction form
    266,336/572,200 = 572,200/x
  3. Step 3: Cross multiply
    266,336x = 572,200 × 572,200
  4. Step 4: Simplify right side
    266,336x = 327,412,840,000
  5. Step 5: Solve for x
    x = 327,412,840,000/266,336
  6. Step 6: Final answer
    x = 1,229,322.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.