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Finding the Third Proportional to 335,041 and 518,114.50

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Solution

The third proportional to 335,041 and 518,114.50 is: 801,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,041 : 518,114.50 = 518,114.50 : x
  2. Step 2: Convert to fraction form
    335,041/518,114.50 = 518,114.50/x
  3. Step 3: Cross multiply
    335,041x = 518,114.50 × 518,114.50
  4. Step 4: Simplify right side
    335,041x = 268,442,635,110.25
  5. Step 5: Solve for x
    x = 268,442,635,110.25/335,041
  6. Step 6: Final answer
    x = 801,223.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.