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Finding the Third Proportional to 416,679 and 589,983.50

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Solution

The third proportional to 416,679 and 589,983.50 is: 835,368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,679 : 589,983.50 = 589,983.50 : x
  2. Step 2: Convert to fraction form
    416,679/589,983.50 = 589,983.50/x
  3. Step 3: Cross multiply
    416,679x = 589,983.50 × 589,983.50
  4. Step 4: Simplify right side
    416,679x = 348,080,530,272.25
  5. Step 5: Solve for x
    x = 348,080,530,272.25/416,679
  6. Step 6: Final answer
    x = 835,368.55

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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.