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Finding the Third Proportional to 601,224 and 928,296

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Solution

The third proportional to 601,224 and 928,296 is: 1,433,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,224 : 928,296 = 928,296 : x
  2. Step 2: Convert to fraction form
    601,224/928,296 = 928,296/x
  3. Step 3: Cross multiply
    601,224x = 928,296 × 928,296
  4. Step 4: Simplify right side
    601,224x = 861,733,463,616
  5. Step 5: Solve for x
    x = 861,733,463,616/601,224
  6. Step 6: Final answer
    x = 1,433,298.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.