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Finding the Third Proportional to 228,502 and 364,894

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Solution

The third proportional to 228,502 and 364,894 is: 582,697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,502 : 364,894 = 364,894 : x
  2. Step 2: Convert to fraction form
    228,502/364,894 = 364,894/x
  3. Step 3: Cross multiply
    228,502x = 364,894 × 364,894
  4. Step 4: Simplify right side
    228,502x = 133,147,631,236
  5. Step 5: Solve for x
    x = 133,147,631,236/228,502
  6. Step 6: Final answer
    x = 582,697.88

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.