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Finding the Third Proportional to 356,508 and 759,240

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Solution

The third proportional to 356,508 and 759,240 is: 1,616,921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,508 : 759,240 = 759,240 : x
  2. Step 2: Convert to fraction form
    356,508/759,240 = 759,240/x
  3. Step 3: Cross multiply
    356,508x = 759,240 × 759,240
  4. Step 4: Simplify right side
    356,508x = 576,445,377,600
  5. Step 5: Solve for x
    x = 576,445,377,600/356,508
  6. Step 6: Final answer
    x = 1,616,921.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.