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Finding the Third Proportional to 302,928 and 468,996

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Solution

The third proportional to 302,928 and 468,996 is: 726,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,928 : 468,996 = 468,996 : x
  2. Step 2: Convert to fraction form
    302,928/468,996 = 468,996/x
  3. Step 3: Cross multiply
    302,928x = 468,996 × 468,996
  4. Step 4: Simplify right side
    302,928x = 219,957,248,016
  5. Step 5: Solve for x
    x = 219,957,248,016/302,928
  6. Step 6: Final answer
    x = 726,104.05

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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.