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Finding the Third Proportional to 411,188 and 615,094

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Solution

The third proportional to 411,188 and 615,094 is: 920,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,188 : 615,094 = 615,094 : x
  2. Step 2: Convert to fraction form
    411,188/615,094 = 615,094/x
  3. Step 3: Cross multiply
    411,188x = 615,094 × 615,094
  4. Step 4: Simplify right side
    411,188x = 378,340,628,836
  5. Step 5: Solve for x
    x = 378,340,628,836/411,188
  6. Step 6: Final answer
    x = 920,115.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.