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Finding the Third Proportional to 223,408 and 462,368

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Solution

The third proportional to 223,408 and 462,368 is: 956,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,408 : 462,368 = 462,368 : x
  2. Step 2: Convert to fraction form
    223,408/462,368 = 462,368/x
  3. Step 3: Cross multiply
    223,408x = 462,368 × 462,368
  4. Step 4: Simplify right side
    223,408x = 213,784,167,424
  5. Step 5: Solve for x
    x = 213,784,167,424/223,408
  6. Step 6: Final answer
    x = 956,922.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.