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Finding the Third Proportional to 323,266 and 705,272

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Solution

The third proportional to 323,266 and 705,272 is: 1,538,697.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,266 : 705,272 = 705,272 : x
  2. Step 2: Convert to fraction form
    323,266/705,272 = 705,272/x
  3. Step 3: Cross multiply
    323,266x = 705,272 × 705,272
  4. Step 4: Simplify right side
    323,266x = 497,408,593,984
  5. Step 5: Solve for x
    x = 497,408,593,984/323,266
  6. Step 6: Final answer
    x = 1,538,697.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.