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Finding the Third Proportional to 307,190 and 465,078

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Solution

The third proportional to 307,190 and 465,078 is: 704,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,190 : 465,078 = 465,078 : x
  2. Step 2: Convert to fraction form
    307,190/465,078 = 465,078/x
  3. Step 3: Cross multiply
    307,190x = 465,078 × 465,078
  4. Step 4: Simplify right side
    307,190x = 216,297,546,084
  5. Step 5: Solve for x
    x = 216,297,546,084/307,190
  6. Step 6: Final answer
    x = 704,116.49

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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.