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Finding the Third Proportional to 251,658 and 540,850.50

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Solution

The third proportional to 251,658 and 540,850.50 is: 1,162,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,658 : 540,850.50 = 540,850.50 : x
  2. Step 2: Convert to fraction form
    251,658/540,850.50 = 540,850.50/x
  3. Step 3: Cross multiply
    251,658x = 540,850.50 × 540,850.50
  4. Step 4: Simplify right side
    251,658x = 292,519,263,350.25
  5. Step 5: Solve for x
    x = 292,519,263,350.25/251,658
  6. Step 6: Final answer
    x = 1,162,368.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.