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Finding the Third Proportional to 322,048 and 473,224

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Solution

The third proportional to 322,048 and 473,224 is: 695,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,048 : 473,224 = 473,224 : x
  2. Step 2: Convert to fraction form
    322,048/473,224 = 473,224/x
  3. Step 3: Cross multiply
    322,048x = 473,224 × 473,224
  4. Step 4: Simplify right side
    322,048x = 223,940,954,176
  5. Step 5: Solve for x
    x = 223,940,954,176/322,048
  6. Step 6: Final answer
    x = 695,365.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.