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Finding the Third Proportional to 305,113.50 and 460,441.13

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Solution

The third proportional to 305,113.50 and 460,441.13 is: 694,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,113.50 : 460,441.13 = 460,441.13 : x
  2. Step 2: Convert to fraction form
    305,113.50/460,441.13 = 460,441.13/x
  3. Step 3: Cross multiply
    305,113.50x = 460,441.13 × 460,441.13
  4. Step 4: Simplify right side
    305,113.50x = 212,006,029,591.27
  5. Step 5: Solve for x
    x = 212,006,029,591.27/305,113.50
  6. Step 6: Final answer
    x = 694,843.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.