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Finding the Third Proportional to 292,037 and 627,704

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Solution

The third proportional to 292,037 and 627,704 is: 1,349,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,037 : 627,704 = 627,704 : x
  2. Step 2: Convert to fraction form
    292,037/627,704 = 627,704/x
  3. Step 3: Cross multiply
    292,037x = 627,704 × 627,704
  4. Step 4: Simplify right side
    292,037x = 394,012,311,616
  5. Step 5: Solve for x
    x = 394,012,311,616/292,037
  6. Step 6: Final answer
    x = 1,349,186.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.