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Finding the Third Proportional to 307,823,238 and 677,210,472

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Solution

The third proportional to 307,823,238 and 677,210,472 is: 1,489,861,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,823,238 : 677,210,472 = 677,210,472 : x
  2. Step 2: Convert to fraction form
    307,823,238/677,210,472 = 677,210,472/x
  3. Step 3: Cross multiply
    307,823,238x = 677,210,472 × 677,210,472
  4. Step 4: Simplify right side
    307,823,238x = 458,614,023,386,462,784
  5. Step 5: Solve for x
    x = 458,614,023,386,462,784/307,823,238
  6. Step 6: Final answer
    x = 1,489,861,604.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.