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Finding the Third Proportional to 229,484 and 322,592

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Solution

The third proportional to 229,484 and 322,592 is: 453,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,484 : 322,592 = 322,592 : x
  2. Step 2: Convert to fraction form
    229,484/322,592 = 322,592/x
  3. Step 3: Cross multiply
    229,484x = 322,592 × 322,592
  4. Step 4: Simplify right side
    229,484x = 104,065,598,464
  5. Step 5: Solve for x
    x = 104,065,598,464/229,484
  6. Step 6: Final answer
    x = 453,476.49

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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.