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Finding the Third Proportional to 376,095 and 804,663

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Solution

The third proportional to 376,095 and 804,663 is: 1,721,593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,095 : 804,663 = 804,663 : x
  2. Step 2: Convert to fraction form
    376,095/804,663 = 804,663/x
  3. Step 3: Cross multiply
    376,095x = 804,663 × 804,663
  4. Step 4: Simplify right side
    376,095x = 647,482,543,569
  5. Step 5: Solve for x
    x = 647,482,543,569/376,095
  6. Step 6: Final answer
    x = 1,721,593.06

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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.