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Finding the Third Proportional to 237,090 and 559,645

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Solution

The third proportional to 237,090 and 559,645 is: 1,321,027.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,090 : 559,645 = 559,645 : x
  2. Step 2: Convert to fraction form
    237,090/559,645 = 559,645/x
  3. Step 3: Cross multiply
    237,090x = 559,645 × 559,645
  4. Step 4: Simplify right side
    237,090x = 313,202,526,025
  5. Step 5: Solve for x
    x = 313,202,526,025/237,090
  6. Step 6: Final answer
    x = 1,321,027.99

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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.