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Finding the Third Proportional to 376,584 and 804,972

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Solution

The third proportional to 376,584 and 804,972 is: 1,720,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,584 : 804,972 = 804,972 : x
  2. Step 2: Convert to fraction form
    376,584/804,972 = 804,972/x
  3. Step 3: Cross multiply
    376,584x = 804,972 × 804,972
  4. Step 4: Simplify right side
    376,584x = 647,979,920,784
  5. Step 5: Solve for x
    x = 647,979,920,784/376,584
  6. Step 6: Final answer
    x = 1,720,678.31

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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.