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Finding the Third Proportional to 294,003 and 452,493

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Solution

The third proportional to 294,003 and 452,493 is: 696,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,003 : 452,493 = 452,493 : x
  2. Step 2: Convert to fraction form
    294,003/452,493 = 452,493/x
  3. Step 3: Cross multiply
    294,003x = 452,493 × 452,493
  4. Step 4: Simplify right side
    294,003x = 204,749,915,049
  5. Step 5: Solve for x
    x = 204,749,915,049/294,003
  6. Step 6: Final answer
    x = 696,421.18

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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.