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Finding the Third Proportional to 375,578 and 804,592

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Solution

The third proportional to 375,578 and 804,592 is: 1,723,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,578 : 804,592 = 804,592 : x
  2. Step 2: Convert to fraction form
    375,578/804,592 = 804,592/x
  3. Step 3: Cross multiply
    375,578x = 804,592 × 804,592
  4. Step 4: Simplify right side
    375,578x = 647,368,286,464
  5. Step 5: Solve for x
    x = 647,368,286,464/375,578
  6. Step 6: Final answer
    x = 1,723,658.70

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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.