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Finding the Third Proportional to 307,124 and 664,548

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Solution

The third proportional to 307,124 and 664,548 is: 1,437,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,124 : 664,548 = 664,548 : x
  2. Step 2: Convert to fraction form
    307,124/664,548 = 664,548/x
  3. Step 3: Cross multiply
    307,124x = 664,548 × 664,548
  4. Step 4: Simplify right side
    307,124x = 441,624,044,304
  5. Step 5: Solve for x
    x = 441,624,044,304/307,124
  6. Step 6: Final answer
    x = 1,437,934.01

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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.