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Finding the Third Proportional to 226,237 and 474,506

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Solution

The third proportional to 226,237 and 474,506 is: 995,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,237 : 474,506 = 474,506 : x
  2. Step 2: Convert to fraction form
    226,237/474,506 = 474,506/x
  3. Step 3: Cross multiply
    226,237x = 474,506 × 474,506
  4. Step 4: Simplify right side
    226,237x = 225,155,944,036
  5. Step 5: Solve for x
    x = 225,155,944,036/226,237
  6. Step 6: Final answer
    x = 995,221.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.