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Finding the Third Proportional to 292,224 and 622,104

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Solution

The third proportional to 292,224 and 622,104 is: 1,324,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,224 : 622,104 = 622,104 : x
  2. Step 2: Convert to fraction form
    292,224/622,104 = 622,104/x
  3. Step 3: Cross multiply
    292,224x = 622,104 × 622,104
  4. Step 4: Simplify right side
    292,224x = 387,013,386,816
  5. Step 5: Solve for x
    x = 387,013,386,816/292,224
  6. Step 6: Final answer
    x = 1,324,372.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.