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Finding the Third Proportional to 229,298 and 474,794

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Solution

The third proportional to 229,298 and 474,794 is: 983,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,298 : 474,794 = 474,794 : x
  2. Step 2: Convert to fraction form
    229,298/474,794 = 474,794/x
  3. Step 3: Cross multiply
    229,298x = 474,794 × 474,794
  4. Step 4: Simplify right side
    229,298x = 225,429,342,436
  5. Step 5: Solve for x
    x = 225,429,342,436/229,298
  6. Step 6: Final answer
    x = 983,128.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.