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Finding the Third Proportional to 824,701.50 and 1,276,958.25

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Solution

The third proportional to 824,701.50 and 1,276,958.25 is: 1,977,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,701.50 : 1,276,958.25 = 1,276,958.25 : x
  2. Step 2: Convert to fraction form
    824,701.50/1,276,958.25 = 1,276,958.25/x
  3. Step 3: Cross multiply
    824,701.50x = 1,276,958.25 × 1,276,958.25
  4. Step 4: Simplify right side
    824,701.50x = 1,630,622,372,243.06
  5. Step 5: Solve for x
    x = 1,630,622,372,243.06/824,701.50
  6. Step 6: Final answer
    x = 1,977,227.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.