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Finding the Third Proportional to 219,502 and 328,314

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Solution

The third proportional to 219,502 and 328,314 is: 491,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,502 : 328,314 = 328,314 : x
  2. Step 2: Convert to fraction form
    219,502/328,314 = 328,314/x
  3. Step 3: Cross multiply
    219,502x = 328,314 × 328,314
  4. Step 4: Simplify right side
    219,502x = 107,790,082,596
  5. Step 5: Solve for x
    x = 107,790,082,596/219,502
  6. Step 6: Final answer
    x = 491,066.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.