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Finding the Third Proportional to 293,670 and 466,761

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Solution

The third proportional to 293,670 and 466,761 is: 741,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,670 : 466,761 = 466,761 : x
  2. Step 2: Convert to fraction form
    293,670/466,761 = 466,761/x
  3. Step 3: Cross multiply
    293,670x = 466,761 × 466,761
  4. Step 4: Simplify right side
    293,670x = 217,865,831,121
  5. Step 5: Solve for x
    x = 217,865,831,121/293,670
  6. Step 6: Final answer
    x = 741,872.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.