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Finding the Third Proportional to 348,015 and 759,948

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Solution

The third proportional to 348,015 and 759,948 is: 1,659,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,015 : 759,948 = 759,948 : x
  2. Step 2: Convert to fraction form
    348,015/759,948 = 759,948/x
  3. Step 3: Cross multiply
    348,015x = 759,948 × 759,948
  4. Step 4: Simplify right side
    348,015x = 577,520,962,704
  5. Step 5: Solve for x
    x = 577,520,962,704/348,015
  6. Step 6: Final answer
    x = 1,659,471.47

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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.