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Finding the Third Proportional to 345,984 and 743,704

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Solution

The third proportional to 345,984 and 743,704 is: 1,598,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,984 : 743,704 = 743,704 : x
  2. Step 2: Convert to fraction form
    345,984/743,704 = 743,704/x
  3. Step 3: Cross multiply
    345,984x = 743,704 × 743,704
  4. Step 4: Simplify right side
    345,984x = 553,095,639,616
  5. Step 5: Solve for x
    x = 553,095,639,616/345,984
  6. Step 6: Final answer
    x = 1,598,616.24

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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.