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Finding the Third Proportional to 323,284 and 706,761

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Solution

The third proportional to 323,284 and 706,761 is: 1,545,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,284 : 706,761 = 706,761 : x
  2. Step 2: Convert to fraction form
    323,284/706,761 = 706,761/x
  3. Step 3: Cross multiply
    323,284x = 706,761 × 706,761
  4. Step 4: Simplify right side
    323,284x = 499,511,111,121
  5. Step 5: Solve for x
    x = 499,511,111,121/323,284
  6. Step 6: Final answer
    x = 1,545,115.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.