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Finding the Third Proportional to 307,410.19 and 465,215.91

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Solution

The third proportional to 307,410.19 and 465,215.91 is: 704,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,410.19 : 465,215.91 = 465,215.91 : x
  2. Step 2: Convert to fraction form
    307,410.19/465,215.91 = 465,215.91/x
  3. Step 3: Cross multiply
    307,410.19x = 465,215.91 × 465,215.91
  4. Step 4: Simplify right side
    307,410.19x = 216,425,839,428.01
  5. Step 5: Solve for x
    x = 216,425,839,428.01/307,410.19
  6. Step 6: Final answer
    x = 704,029.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.