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Finding the Third Proportional to 340,505.44 and 477,208.13

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Solution

The third proportional to 340,505.44 and 477,208.13 is: 668,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,505.44 : 477,208.13 = 477,208.13 : x
  2. Step 2: Convert to fraction form
    340,505.44/477,208.13 = 477,208.13/x
  3. Step 3: Cross multiply
    340,505.44x = 477,208.13 × 477,208.13
  4. Step 4: Simplify right side
    340,505.44x = 227,727,594,566.02
  5. Step 5: Solve for x
    x = 227,727,594,566.02/340,505.44
  6. Step 6: Final answer
    x = 668,792.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.