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Finding the Third Proportional to 323,271 and 705,282

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Solution

The third proportional to 323,271 and 705,282 is: 1,538,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,271 : 705,282 = 705,282 : x
  2. Step 2: Convert to fraction form
    323,271/705,282 = 705,282/x
  3. Step 3: Cross multiply
    323,271x = 705,282 × 705,282
  4. Step 4: Simplify right side
    323,271x = 497,422,699,524
  5. Step 5: Solve for x
    x = 497,422,699,524/323,271
  6. Step 6: Final answer
    x = 1,538,717.36

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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.