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Finding the Third Proportional to 374,022.50 and 526,089.75

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Solution

The third proportional to 374,022.50 and 526,089.75 is: 739,983.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,022.50 : 526,089.75 = 526,089.75 : x
  2. Step 2: Convert to fraction form
    374,022.50/526,089.75 = 526,089.75/x
  3. Step 3: Cross multiply
    374,022.50x = 526,089.75 × 526,089.75
  4. Step 4: Simplify right side
    374,022.50x = 276,770,425,055.06
  5. Step 5: Solve for x
    x = 276,770,425,055.06/374,022.50
  6. Step 6: Final answer
    x = 739,983.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.