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Finding the Third Proportional to 266,319 and 573,231

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Solution

The third proportional to 266,319 and 573,231 is: 1,233,835.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,319 : 573,231 = 573,231 : x
  2. Step 2: Convert to fraction form
    266,319/573,231 = 573,231/x
  3. Step 3: Cross multiply
    266,319x = 573,231 × 573,231
  4. Step 4: Simplify right side
    266,319x = 328,593,779,361
  5. Step 5: Solve for x
    x = 328,593,779,361/266,319
  6. Step 6: Final answer
    x = 1,233,835.29

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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.