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Finding the Third Proportional to 335,530.97 and 508,180.50

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Solution

The third proportional to 335,530.97 and 508,180.50 is: 769,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,530.97 : 508,180.50 = 508,180.50 : x
  2. Step 2: Convert to fraction form
    335,530.97/508,180.50 = 508,180.50/x
  3. Step 3: Cross multiply
    335,530.97x = 508,180.50 × 508,180.50
  4. Step 4: Simplify right side
    335,530.97x = 258,247,420,580.25
  5. Step 5: Solve for x
    x = 258,247,420,580.25/335,530.97
  6. Step 6: Final answer
    x = 769,667.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.