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Finding the Third Proportional to 229,293 and 474,786

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Solution

The third proportional to 229,293 and 474,786 is: 983,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,293 : 474,786 = 474,786 : x
  2. Step 2: Convert to fraction form
    229,293/474,786 = 474,786/x
  3. Step 3: Cross multiply
    229,293x = 474,786 × 474,786
  4. Step 4: Simplify right side
    229,293x = 225,421,745,796
  5. Step 5: Solve for x
    x = 225,421,745,796/229,293
  6. Step 6: Final answer
    x = 983,116.56

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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.