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Finding the Third Proportional to 302,950 and 469,072

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Solution

The third proportional to 302,950 and 469,072 is: 726,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,950 : 469,072 = 469,072 : x
  2. Step 2: Convert to fraction form
    302,950/469,072 = 469,072/x
  3. Step 3: Cross multiply
    302,950x = 469,072 × 469,072
  4. Step 4: Simplify right side
    302,950x = 220,028,541,184
  5. Step 5: Solve for x
    x = 220,028,541,184/302,950
  6. Step 6: Final answer
    x = 726,286.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.