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Finding the Third Proportional to 557,449.50 and 823,051.50

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Solution

The third proportional to 557,449.50 and 823,051.50 is: 1,215,202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,449.50 : 823,051.50 = 823,051.50 : x
  2. Step 2: Convert to fraction form
    557,449.50/823,051.50 = 823,051.50/x
  3. Step 3: Cross multiply
    557,449.50x = 823,051.50 × 823,051.50
  4. Step 4: Simplify right side
    557,449.50x = 677,413,771,652.25
  5. Step 5: Solve for x
    x = 677,413,771,652.25/557,449.50
  6. Step 6: Final answer
    x = 1,215,202.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.