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Finding the Third Proportional to 307,724 and 639,908

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Solution

The third proportional to 307,724 and 639,908 is: 1,330,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,724 : 639,908 = 639,908 : x
  2. Step 2: Convert to fraction form
    307,724/639,908 = 639,908/x
  3. Step 3: Cross multiply
    307,724x = 639,908 × 639,908
  4. Step 4: Simplify right side
    307,724x = 409,482,248,464
  5. Step 5: Solve for x
    x = 409,482,248,464/307,724
  6. Step 6: Final answer
    x = 1,330,680.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.