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Finding the Third Proportional to 229,469 and 322,572

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Solution

The third proportional to 229,469 and 322,572 is: 453,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,469 : 322,572 = 322,572 : x
  2. Step 2: Convert to fraction form
    229,469/322,572 = 322,572/x
  3. Step 3: Cross multiply
    229,469x = 322,572 × 322,572
  4. Step 4: Simplify right side
    229,469x = 104,052,695,184
  5. Step 5: Solve for x
    x = 104,052,695,184/229,469
  6. Step 6: Final answer
    x = 453,449.90

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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.