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Finding the Third Proportional to 334,720.50 and 468,168.75

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Solution

The third proportional to 334,720.50 and 468,168.75 is: 654,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,720.50 : 468,168.75 = 468,168.75 : x
  2. Step 2: Convert to fraction form
    334,720.50/468,168.75 = 468,168.75/x
  3. Step 3: Cross multiply
    334,720.50x = 468,168.75 × 468,168.75
  4. Step 4: Simplify right side
    334,720.50x = 219,181,978,476.56
  5. Step 5: Solve for x
    x = 219,181,978,476.56/334,720.50
  6. Step 6: Final answer
    x = 654,820.90

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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.