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Finding the Third Proportional to 226,785 and 492,210

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Solution

The third proportional to 226,785 and 492,210 is: 1,068,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,785 : 492,210 = 492,210 : x
  2. Step 2: Convert to fraction form
    226,785/492,210 = 492,210/x
  3. Step 3: Cross multiply
    226,785x = 492,210 × 492,210
  4. Step 4: Simplify right side
    226,785x = 242,270,684,100
  5. Step 5: Solve for x
    x = 242,270,684,100/226,785
  6. Step 6: Final answer
    x = 1,068,283.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.