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Finding the Third Proportional to 574,431 and 804,958.50

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Solution

The third proportional to 574,431 and 804,958.50 is: 1,128,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,431 : 804,958.50 = 804,958.50 : x
  2. Step 2: Convert to fraction form
    574,431/804,958.50 = 804,958.50/x
  3. Step 3: Cross multiply
    574,431x = 804,958.50 × 804,958.50
  4. Step 4: Simplify right side
    574,431x = 647,958,186,722.25
  5. Step 5: Solve for x
    x = 647,958,186,722.25/574,431
  6. Step 6: Final answer
    x = 1,128,000.03

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