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Finding the Third Proportional to 334,416.50 and 505,190.50

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Solution

The third proportional to 334,416.50 and 505,190.50 is: 763,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,416.50 : 505,190.50 = 505,190.50 : x
  2. Step 2: Convert to fraction form
    334,416.50/505,190.50 = 505,190.50/x
  3. Step 3: Cross multiply
    334,416.50x = 505,190.50 × 505,190.50
  4. Step 4: Simplify right side
    334,416.50x = 255,217,441,290.25
  5. Step 5: Solve for x
    x = 255,217,441,290.25/334,416.50
  6. Step 6: Final answer
    x = 763,172.40

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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.