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Finding the Third Proportional to 323,317 and 762,146

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Solution

The third proportional to 323,317 and 762,146 is: 1,796,585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,317 : 762,146 = 762,146 : x
  2. Step 2: Convert to fraction form
    323,317/762,146 = 762,146/x
  3. Step 3: Cross multiply
    323,317x = 762,146 × 762,146
  4. Step 4: Simplify right side
    323,317x = 580,866,525,316
  5. Step 5: Solve for x
    x = 580,866,525,316/323,317
  6. Step 6: Final answer
    x = 1,796,585.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.