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Finding the Third Proportional to 307,836 and 472,851

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Solution

The third proportional to 307,836 and 472,851 is: 726,322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,836 : 472,851 = 472,851 : x
  2. Step 2: Convert to fraction form
    307,836/472,851 = 472,851/x
  3. Step 3: Cross multiply
    307,836x = 472,851 × 472,851
  4. Step 4: Simplify right side
    307,836x = 223,588,068,201
  5. Step 5: Solve for x
    x = 223,588,068,201/307,836
  6. Step 6: Final answer
    x = 726,322.03

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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.