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Finding the Third Proportional to 266,382 and 395,523

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Solution

The third proportional to 266,382 and 395,523 is: 587,271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,382 : 395,523 = 395,523 : x
  2. Step 2: Convert to fraction form
    266,382/395,523 = 395,523/x
  3. Step 3: Cross multiply
    266,382x = 395,523 × 395,523
  4. Step 4: Simplify right side
    266,382x = 156,438,443,529
  5. Step 5: Solve for x
    x = 156,438,443,529/266,382
  6. Step 6: Final answer
    x = 587,271.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.