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Finding the Third Proportional to 294,671 and 636,295

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Solution

The third proportional to 294,671 and 636,295 is: 1,373,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,671 : 636,295 = 636,295 : x
  2. Step 2: Convert to fraction form
    294,671/636,295 = 636,295/x
  3. Step 3: Cross multiply
    294,671x = 636,295 × 636,295
  4. Step 4: Simplify right side
    294,671x = 404,871,327,025
  5. Step 5: Solve for x
    x = 404,871,327,025/294,671
  6. Step 6: Final answer
    x = 1,373,977.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.