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Finding the Third Proportional to 302,818 and 464,831

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Solution

The third proportional to 302,818 and 464,831 is: 713,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,818 : 464,831 = 464,831 : x
  2. Step 2: Convert to fraction form
    302,818/464,831 = 464,831/x
  3. Step 3: Cross multiply
    302,818x = 464,831 × 464,831
  4. Step 4: Simplify right side
    302,818x = 216,067,858,561
  5. Step 5: Solve for x
    x = 216,067,858,561/302,818
  6. Step 6: Final answer
    x = 713,523.83

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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.