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Finding the Third Proportional to 307,320.33 and 465,265.27

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Solution

The third proportional to 307,320.33 and 465,265.27 is: 704,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,320.33 : 465,265.27 = 465,265.27 : x
  2. Step 2: Convert to fraction form
    307,320.33/465,265.27 = 465,265.27/x
  3. Step 3: Cross multiply
    307,320.33x = 465,265.27 × 465,265.27
  4. Step 4: Simplify right side
    307,320.33x = 216,471,767,397.10
  5. Step 5: Solve for x
    x = 216,471,767,397.10/307,320.33
  6. Step 6: Final answer
    x = 704,384.80

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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.