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Finding the Third Proportional to 240,240 and 556,094

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Solution

The third proportional to 240,240 and 556,094 is: 1,287,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,240 : 556,094 = 556,094 : x
  2. Step 2: Convert to fraction form
    240,240/556,094 = 556,094/x
  3. Step 3: Cross multiply
    240,240x = 556,094 × 556,094
  4. Step 4: Simplify right side
    240,240x = 309,240,536,836
  5. Step 5: Solve for x
    x = 309,240,536,836/240,240
  6. Step 6: Final answer
    x = 1,287,215.02

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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.