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Finding the Third Proportional to 302,892.75 and 468,947.25

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Solution

The third proportional to 302,892.75 and 468,947.25 is: 726,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,892.75 : 468,947.25 = 468,947.25 : x
  2. Step 2: Convert to fraction form
    302,892.75/468,947.25 = 468,947.25/x
  3. Step 3: Cross multiply
    302,892.75x = 468,947.25 × 468,947.25
  4. Step 4: Simplify right side
    302,892.75x = 219,911,523,282.56
  5. Step 5: Solve for x
    x = 219,911,523,282.56/302,892.75
  6. Step 6: Final answer
    x = 726,037.59

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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.