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Finding the Third Proportional to 352,428.75 and 529,425

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Solution

The third proportional to 352,428.75 and 529,425 is: 795,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,428.75 : 529,425 = 529,425 : x
  2. Step 2: Convert to fraction form
    352,428.75/529,425 = 529,425/x
  3. Step 3: Cross multiply
    352,428.75x = 529,425 × 529,425
  4. Step 4: Simplify right side
    352,428.75x = 280,290,830,625
  5. Step 5: Solve for x
    x = 280,290,830,625/352,428.75
  6. Step 6: Final answer
    x = 795,312.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.