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Finding the Third Proportional to 233,864 and 364,486

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Solution

The third proportional to 233,864 and 364,486 is: 568,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,864 : 364,486 = 364,486 : x
  2. Step 2: Convert to fraction form
    233,864/364,486 = 364,486/x
  3. Step 3: Cross multiply
    233,864x = 364,486 × 364,486
  4. Step 4: Simplify right side
    233,864x = 132,850,044,196
  5. Step 5: Solve for x
    x = 132,850,044,196/233,864
  6. Step 6: Final answer
    x = 568,065.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.