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Finding the Third Proportional to 260,594.72 and 571,012.03

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Solution

The third proportional to 260,594.72 and 571,012.03 is: 1,251,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,594.72 : 571,012.03 = 571,012.03 : x
  2. Step 2: Convert to fraction form
    260,594.72/571,012.03 = 571,012.03/x
  3. Step 3: Cross multiply
    260,594.72x = 571,012.03 × 571,012.03
  4. Step 4: Simplify right side
    260,594.72x = 326,054,739,832.25
  5. Step 5: Solve for x
    x = 326,054,739,832.25/260,594.72
  6. Step 6: Final answer
    x = 1,251,194.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.