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Finding the Third Proportional to 348,029 and 759,976

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Solution

The third proportional to 348,029 and 759,976 is: 1,659,527.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,029 : 759,976 = 759,976 : x
  2. Step 2: Convert to fraction form
    348,029/759,976 = 759,976/x
  3. Step 3: Cross multiply
    348,029x = 759,976 × 759,976
  4. Step 4: Simplify right side
    348,029x = 577,563,520,576
  5. Step 5: Solve for x
    x = 577,563,520,576/348,029
  6. Step 6: Final answer
    x = 1,659,527.00

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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.