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Finding the Third Proportional to 240,619 and 522,217

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Solution

The third proportional to 240,619 and 522,217 is: 1,133,370.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,619 : 522,217 = 522,217 : x
  2. Step 2: Convert to fraction form
    240,619/522,217 = 522,217/x
  3. Step 3: Cross multiply
    240,619x = 522,217 × 522,217
  4. Step 4: Simplify right side
    240,619x = 272,710,595,089
  5. Step 5: Solve for x
    x = 272,710,595,089/240,619
  6. Step 6: Final answer
    x = 1,133,370.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.