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Finding the Third Proportional to 345,937 and 759,982

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Solution

The third proportional to 345,937 and 759,982 is: 1,669,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,937 : 759,982 = 759,982 : x
  2. Step 2: Convert to fraction form
    345,937/759,982 = 759,982/x
  3. Step 3: Cross multiply
    345,937x = 759,982 × 759,982
  4. Step 4: Simplify right side
    345,937x = 577,572,640,324
  5. Step 5: Solve for x
    x = 577,572,640,324/345,937
  6. Step 6: Final answer
    x = 1,669,589.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.