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Finding the Third Proportional to 306,365.63 and 472,467.38

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Solution

The third proportional to 306,365.63 and 472,467.38 is: 728,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,365.63 : 472,467.38 = 472,467.38 : x
  2. Step 2: Convert to fraction form
    306,365.63/472,467.38 = 472,467.38/x
  3. Step 3: Cross multiply
    306,365.63x = 472,467.38 × 472,467.38
  4. Step 4: Simplify right side
    306,365.63x = 223,225,420,439.39
  5. Step 5: Solve for x
    x = 223,225,420,439.39/306,365.63
  6. Step 6: Final answer
    x = 728,624.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.