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Finding the Third Proportional to 574,455 and 804,993

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Solution

The third proportional to 574,455 and 804,993 is: 1,128,049.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,455 : 804,993 = 804,993 : x
  2. Step 2: Convert to fraction form
    574,455/804,993 = 804,993/x
  3. Step 3: Cross multiply
    574,455x = 804,993 × 804,993
  4. Step 4: Simplify right side
    574,455x = 648,013,730,049
  5. Step 5: Solve for x
    x = 648,013,730,049/574,455
  6. Step 6: Final answer
    x = 1,128,049.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.