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Finding the Third Proportional to 254,558 and 559,964

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Solution

The third proportional to 254,558 and 559,964 is: 1,231,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,558 : 559,964 = 559,964 : x
  2. Step 2: Convert to fraction form
    254,558/559,964 = 559,964/x
  3. Step 3: Cross multiply
    254,558x = 559,964 × 559,964
  4. Step 4: Simplify right side
    254,558x = 313,559,681,296
  5. Step 5: Solve for x
    x = 313,559,681,296/254,558
  6. Step 6: Final answer
    x = 1,231,780.90

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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.