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Finding the Third Proportional to 237,094 and 559,655

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Solution

The third proportional to 237,094 and 559,655 is: 1,321,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,094 : 559,655 = 559,655 : x
  2. Step 2: Convert to fraction form
    237,094/559,655 = 559,655/x
  3. Step 3: Cross multiply
    237,094x = 559,655 × 559,655
  4. Step 4: Simplify right side
    237,094x = 313,213,719,025
  5. Step 5: Solve for x
    x = 313,213,719,025/237,094
  6. Step 6: Final answer
    x = 1,321,052.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.