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Finding the Third Proportional to 314,797 and 474,831

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Solution

The third proportional to 314,797 and 474,831 is: 716,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,797 : 474,831 = 474,831 : x
  2. Step 2: Convert to fraction form
    314,797/474,831 = 474,831/x
  3. Step 3: Cross multiply
    314,797x = 474,831 × 474,831
  4. Step 4: Simplify right side
    314,797x = 225,464,478,561
  5. Step 5: Solve for x
    x = 225,464,478,561/314,797
  6. Step 6: Final answer
    x = 716,221.81

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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.