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Finding the Third Proportional to 228,966 and 492,924

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Solution

The third proportional to 228,966 and 492,924 is: 1,061,179.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,966 : 492,924 = 492,924 : x
  2. Step 2: Convert to fraction form
    228,966/492,924 = 492,924/x
  3. Step 3: Cross multiply
    228,966x = 492,924 × 492,924
  4. Step 4: Simplify right side
    228,966x = 242,974,069,776
  5. Step 5: Solve for x
    x = 242,974,069,776/228,966
  6. Step 6: Final answer
    x = 1,061,179.69

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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.