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Finding the Third Proportional to 229,472 and 322,576

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Solution

The third proportional to 229,472 and 322,576 is: 453,455.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,472 : 322,576 = 322,576 : x
  2. Step 2: Convert to fraction form
    229,472/322,576 = 322,576/x
  3. Step 3: Cross multiply
    229,472x = 322,576 × 322,576
  4. Step 4: Simplify right side
    229,472x = 104,055,275,776
  5. Step 5: Solve for x
    x = 104,055,275,776/229,472
  6. Step 6: Final answer
    x = 453,455.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.