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Finding the Third Proportional to 323,406 and 703,539

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Solution

The third proportional to 323,406 and 703,539 is: 1,530,482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,406 : 703,539 = 703,539 : x
  2. Step 2: Convert to fraction form
    323,406/703,539 = 703,539/x
  3. Step 3: Cross multiply
    323,406x = 703,539 × 703,539
  4. Step 4: Simplify right side
    323,406x = 494,967,124,521
  5. Step 5: Solve for x
    x = 494,967,124,521/323,406
  6. Step 6: Final answer
    x = 1,530,482.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.