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Finding the Third Proportional to 352,602 and 529,672.50

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Solution

The third proportional to 352,602 and 529,672.50 is: 795,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,602 : 529,672.50 = 529,672.50 : x
  2. Step 2: Convert to fraction form
    352,602/529,672.50 = 529,672.50/x
  3. Step 3: Cross multiply
    352,602x = 529,672.50 × 529,672.50
  4. Step 4: Simplify right side
    352,602x = 280,552,957,256.25
  5. Step 5: Solve for x
    x = 280,552,957,256.25/352,602
  6. Step 6: Final answer
    x = 795,664.68

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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.