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Finding the Third Proportional to 370,872 and 759,366

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Solution

The third proportional to 370,872 and 759,366 is: 1,554,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,872 : 759,366 = 759,366 : x
  2. Step 2: Convert to fraction form
    370,872/759,366 = 759,366/x
  3. Step 3: Cross multiply
    370,872x = 759,366 × 759,366
  4. Step 4: Simplify right side
    370,872x = 576,636,721,956
  5. Step 5: Solve for x
    x = 576,636,721,956/370,872
  6. Step 6: Final answer
    x = 1,554,813.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.