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Finding the Third Proportional to 307,029.38 and 465,314.63

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Solution

The third proportional to 307,029.38 and 465,314.63 is: 705,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,029.38 : 465,314.63 = 465,314.63 : x
  2. Step 2: Convert to fraction form
    307,029.38/465,314.63 = 465,314.63/x
  3. Step 3: Cross multiply
    307,029.38x = 465,314.63 × 465,314.63
  4. Step 4: Simplify right side
    307,029.38x = 216,517,700,238.89
  5. Step 5: Solve for x
    x = 216,517,700,238.89/307,029.38
  6. Step 6: Final answer
    x = 705,201.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.