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Finding the Third Proportional to 266,347 and 572,222

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Solution

The third proportional to 266,347 and 572,222 is: 1,229,366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,347 : 572,222 = 572,222 : x
  2. Step 2: Convert to fraction form
    266,347/572,222 = 572,222/x
  3. Step 3: Cross multiply
    266,347x = 572,222 × 572,222
  4. Step 4: Simplify right side
    266,347x = 327,438,017,284
  5. Step 5: Solve for x
    x = 327,438,017,284/266,347
  6. Step 6: Final answer
    x = 1,229,366.27

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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.