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Finding the Third Proportional to 574,397 and 804,923

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Solution

The third proportional to 574,397 and 804,923 is: 1,127,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,397 : 804,923 = 804,923 : x
  2. Step 2: Convert to fraction form
    574,397/804,923 = 804,923/x
  3. Step 3: Cross multiply
    574,397x = 804,923 × 804,923
  4. Step 4: Simplify right side
    574,397x = 647,901,035,929
  5. Step 5: Solve for x
    x = 647,901,035,929/574,397
  6. Step 6: Final answer
    x = 1,127,967.30

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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.