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Finding the Third Proportional to 376,536 and 807,648

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Solution

The third proportional to 376,536 and 807,648 is: 1,732,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,536 : 807,648 = 807,648 : x
  2. Step 2: Convert to fraction form
    376,536/807,648 = 807,648/x
  3. Step 3: Cross multiply
    376,536x = 807,648 × 807,648
  4. Step 4: Simplify right side
    376,536x = 652,295,291,904
  5. Step 5: Solve for x
    x = 652,295,291,904/376,536
  6. Step 6: Final answer
    x = 1,732,358.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.