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Finding the Third Proportional to 302,863.50 and 466,932

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Solution

The third proportional to 302,863.50 and 466,932 is: 719,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,863.50 : 466,932 = 466,932 : x
  2. Step 2: Convert to fraction form
    302,863.50/466,932 = 466,932/x
  3. Step 3: Cross multiply
    302,863.50x = 466,932 × 466,932
  4. Step 4: Simplify right side
    302,863.50x = 218,025,492,624
  5. Step 5: Solve for x
    x = 218,025,492,624/302,863.50
  6. Step 6: Final answer
    x = 719,880.38

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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.