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Finding the Third Proportional to 228,971 and 492,934

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Solution

The third proportional to 228,971 and 492,934 is: 1,061,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,971 : 492,934 = 492,934 : x
  2. Step 2: Convert to fraction form
    228,971/492,934 = 492,934/x
  3. Step 3: Cross multiply
    228,971x = 492,934 × 492,934
  4. Step 4: Simplify right side
    228,971x = 242,983,928,356
  5. Step 5: Solve for x
    x = 242,983,928,356/228,971
  6. Step 6: Final answer
    x = 1,061,199.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.