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Finding the Third Proportional to 255,087 and 556,098

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Solution

The third proportional to 255,087 and 556,098 is: 1,212,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,087 : 556,098 = 556,098 : x
  2. Step 2: Convert to fraction form
    255,087/556,098 = 556,098/x
  3. Step 3: Cross multiply
    255,087x = 556,098 × 556,098
  4. Step 4: Simplify right side
    255,087x = 309,244,985,604
  5. Step 5: Solve for x
    x = 309,244,985,604/255,087
  6. Step 6: Final answer
    x = 1,212,311.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.