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Finding the Third Proportional to 254,014 and 559,859

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Solution

The third proportional to 254,014 and 559,859 is: 1,233,956.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,014 : 559,859 = 559,859 : x
  2. Step 2: Convert to fraction form
    254,014/559,859 = 559,859/x
  3. Step 3: Cross multiply
    254,014x = 559,859 × 559,859
  4. Step 4: Simplify right side
    254,014x = 313,442,099,881
  5. Step 5: Solve for x
    x = 313,442,099,881/254,014
  6. Step 6: Final answer
    x = 1,233,956.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.