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Finding the Third Proportional to 240,208 and 556,024

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Solution

The third proportional to 240,208 and 556,024 is: 1,287,062.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,208 : 556,024 = 556,024 : x
  2. Step 2: Convert to fraction form
    240,208/556,024 = 556,024/x
  3. Step 3: Cross multiply
    240,208x = 556,024 × 556,024
  4. Step 4: Simplify right side
    240,208x = 309,162,688,576
  5. Step 5: Solve for x
    x = 309,162,688,576/240,208
  6. Step 6: Final answer
    x = 1,287,062.41

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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.