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Finding the Third Proportional to 240,236 and 556,084

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Solution

The third proportional to 240,236 and 556,084 is: 1,287,190.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,236 : 556,084 = 556,084 : x
  2. Step 2: Convert to fraction form
    240,236/556,084 = 556,084/x
  3. Step 3: Cross multiply
    240,236x = 556,084 × 556,084
  4. Step 4: Simplify right side
    240,236x = 309,229,415,056
  5. Step 5: Solve for x
    x = 309,229,415,056/240,236
  6. Step 6: Final answer
    x = 1,287,190.16

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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.