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Finding the Third Proportional to 474,388.50 and 733,750.50

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Solution

The third proportional to 474,388.50 and 733,750.50 is: 1,134,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,388.50 : 733,750.50 = 733,750.50 : x
  2. Step 2: Convert to fraction form
    474,388.50/733,750.50 = 733,750.50/x
  3. Step 3: Cross multiply
    474,388.50x = 733,750.50 × 733,750.50
  4. Step 4: Simplify right side
    474,388.50x = 538,389,796,250.25
  5. Step 5: Solve for x
    x = 538,389,796,250.25/474,388.50
  6. Step 6: Final answer
    x = 1,134,913.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.