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Finding the Third Proportional to 295,280 and 416,096

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Solution

The third proportional to 295,280 and 416,096 is: 586,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,280 : 416,096 = 416,096 : x
  2. Step 2: Convert to fraction form
    295,280/416,096 = 416,096/x
  3. Step 3: Cross multiply
    295,280x = 416,096 × 416,096
  4. Step 4: Simplify right side
    295,280x = 173,135,881,216
  5. Step 5: Solve for x
    x = 173,135,881,216/295,280
  6. Step 6: Final answer
    x = 586,344.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.