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Finding the Third Proportional to 240,516 and 522,018

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Solution

The third proportional to 240,516 and 522,018 is: 1,132,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,516 : 522,018 = 522,018 : x
  2. Step 2: Convert to fraction form
    240,516/522,018 = 522,018/x
  3. Step 3: Cross multiply
    240,516x = 522,018 × 522,018
  4. Step 4: Simplify right side
    240,516x = 272,502,792,324
  5. Step 5: Solve for x
    x = 272,502,792,324/240,516
  6. Step 6: Final answer
    x = 1,132,992.37

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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.