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Finding the Third Proportional to 352,812 and 762,213

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Solution

The third proportional to 352,812 and 762,213 is: 1,646,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,812 : 762,213 = 762,213 : x
  2. Step 2: Convert to fraction form
    352,812/762,213 = 762,213/x
  3. Step 3: Cross multiply
    352,812x = 762,213 × 762,213
  4. Step 4: Simplify right side
    352,812x = 580,968,657,369
  5. Step 5: Solve for x
    x = 580,968,657,369/352,812
  6. Step 6: Final answer
    x = 1,646,680.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.