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Finding the Third Proportional to 268,272 and 558,575

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Solution

The third proportional to 268,272 and 558,575 is: 1,163,021.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,272 : 558,575 = 558,575 : x
  2. Step 2: Convert to fraction form
    268,272/558,575 = 558,575/x
  3. Step 3: Cross multiply
    268,272x = 558,575 × 558,575
  4. Step 4: Simplify right side
    268,272x = 312,006,030,625
  5. Step 5: Solve for x
    x = 312,006,030,625/268,272
  6. Step 6: Final answer
    x = 1,163,021.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.