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Finding the Third Proportional to 313,746 and 480,036

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Solution

The third proportional to 313,746 and 480,036 is: 734,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,746 : 480,036 = 480,036 : x
  2. Step 2: Convert to fraction form
    313,746/480,036 = 480,036/x
  3. Step 3: Cross multiply
    313,746x = 480,036 × 480,036
  4. Step 4: Simplify right side
    313,746x = 230,434,561,296
  5. Step 5: Solve for x
    x = 230,434,561,296/313,746
  6. Step 6: Final answer
    x = 734,462.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.