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Finding the Third Proportional to 348,033.50 and 759,983

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Solution

The third proportional to 348,033.50 and 759,983 is: 1,659,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,033.50 : 759,983 = 759,983 : x
  2. Step 2: Convert to fraction form
    348,033.50/759,983 = 759,983/x
  3. Step 3: Cross multiply
    348,033.50x = 759,983 × 759,983
  4. Step 4: Simplify right side
    348,033.50x = 577,574,160,289
  5. Step 5: Solve for x
    x = 577,574,160,289/348,033.50
  6. Step 6: Final answer
    x = 1,659,536.11

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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.