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Finding the Third Proportional to 348,807 and 753,366

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Solution

The third proportional to 348,807 and 753,366 is: 1,627,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,807 : 753,366 = 753,366 : x
  2. Step 2: Convert to fraction form
    348,807/753,366 = 753,366/x
  3. Step 3: Cross multiply
    348,807x = 753,366 × 753,366
  4. Step 4: Simplify right side
    348,807x = 567,560,329,956
  5. Step 5: Solve for x
    x = 567,560,329,956/348,807
  6. Step 6: Final answer
    x = 1,627,147.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.