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Finding the Third Proportional to 335,045 and 518,120.50

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Solution

The third proportional to 335,045 and 518,120.50 is: 801,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,045 : 518,120.50 = 518,120.50 : x
  2. Step 2: Convert to fraction form
    335,045/518,120.50 = 518,120.50/x
  3. Step 3: Cross multiply
    335,045x = 518,120.50 × 518,120.50
  4. Step 4: Simplify right side
    335,045x = 268,448,852,520.25
  5. Step 5: Solve for x
    x = 268,448,852,520.25/335,045
  6. Step 6: Final answer
    x = 801,232.23

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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.