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Finding the Third Proportional to 613,192.50 and 957,031.88

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Solution

The third proportional to 613,192.50 and 957,031.88 is: 1,493,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,192.50 : 957,031.88 = 957,031.88 : x
  2. Step 2: Convert to fraction form
    613,192.50/957,031.88 = 957,031.88/x
  3. Step 3: Cross multiply
    613,192.50x = 957,031.88 × 957,031.88
  4. Step 4: Simplify right side
    613,192.50x = 915,910,009,766.02
  5. Step 5: Solve for x
    x = 915,910,009,766.02/613,192.50
  6. Step 6: Final answer
    x = 1,493,674.51

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.