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Finding the Third Proportional to 352,672 and 758,369

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Solution

The third proportional to 352,672 and 758,369 is: 1,630,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,672 : 758,369 = 758,369 : x
  2. Step 2: Convert to fraction form
    352,672/758,369 = 758,369/x
  3. Step 3: Cross multiply
    352,672x = 758,369 × 758,369
  4. Step 4: Simplify right side
    352,672x = 575,123,540,161
  5. Step 5: Solve for x
    x = 575,123,540,161/352,672
  6. Step 6: Final answer
    x = 1,630,760.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.