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Finding the Third Proportional to 574,438 and 804,971

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Solution

The third proportional to 574,438 and 804,971 is: 1,128,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,438 : 804,971 = 804,971 : x
  2. Step 2: Convert to fraction form
    574,438/804,971 = 804,971/x
  3. Step 3: Cross multiply
    574,438x = 804,971 × 804,971
  4. Step 4: Simplify right side
    574,438x = 647,978,310,841
  5. Step 5: Solve for x
    x = 647,978,310,841/574,438
  6. Step 6: Final answer
    x = 1,128,021.32

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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.