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Finding the Third Proportional to 269,221 and 566,346

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Solution

The third proportional to 269,221 and 566,346 is: 1,191,392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,221 : 566,346 = 566,346 : x
  2. Step 2: Convert to fraction form
    269,221/566,346 = 566,346/x
  3. Step 3: Cross multiply
    269,221x = 566,346 × 566,346
  4. Step 4: Simplify right side
    269,221x = 320,747,791,716
  5. Step 5: Solve for x
    x = 320,747,791,716/269,221
  6. Step 6: Final answer
    x = 1,191,392.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.