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Finding the Third Proportional to 416,692 and 590,000

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Solution

The third proportional to 416,692 and 590,000 is: 835,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,692 : 590,000 = 590,000 : x
  2. Step 2: Convert to fraction form
    416,692/590,000 = 590,000/x
  3. Step 3: Cross multiply
    416,692x = 590,000 × 590,000
  4. Step 4: Simplify right side
    416,692x = 348,100,000,000
  5. Step 5: Solve for x
    x = 348,100,000,000/416,692
  6. Step 6: Final answer
    x = 835,389.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.