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Finding the Third Proportional to 240,210 and 556,027

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Solution

The third proportional to 240,210 and 556,027 is: 1,287,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,210 : 556,027 = 556,027 : x
  2. Step 2: Convert to fraction form
    240,210/556,027 = 556,027/x
  3. Step 3: Cross multiply
    240,210x = 556,027 × 556,027
  4. Step 4: Simplify right side
    240,210x = 309,166,024,729
  5. Step 5: Solve for x
    x = 309,166,024,729/240,210
  6. Step 6: Final answer
    x = 1,287,065.59

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.