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Finding the Third Proportional to 307,126 and 664,552

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Solution

The third proportional to 307,126 and 664,552 is: 1,437,941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,126 : 664,552 = 664,552 : x
  2. Step 2: Convert to fraction form
    307,126/664,552 = 664,552/x
  3. Step 3: Cross multiply
    307,126x = 664,552 × 664,552
  4. Step 4: Simplify right side
    307,126x = 441,629,360,704
  5. Step 5: Solve for x
    x = 441,629,360,704/307,126
  6. Step 6: Final answer
    x = 1,437,941.95

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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.