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Finding the Third Proportional to 266,348 and 572,226

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Solution

The third proportional to 266,348 and 572,226 is: 1,229,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,348 : 572,226 = 572,226 : x
  2. Step 2: Convert to fraction form
    266,348/572,226 = 572,226/x
  3. Step 3: Cross multiply
    266,348x = 572,226 × 572,226
  4. Step 4: Simplify right side
    266,348x = 327,442,595,076
  5. Step 5: Solve for x
    x = 327,442,595,076/266,348
  6. Step 6: Final answer
    x = 1,229,378.84

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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.