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Finding the Third Proportional to 340,284 and 522,324

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Solution

The third proportional to 340,284 and 522,324 is: 801,749.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,284 : 522,324 = 522,324 : x
  2. Step 2: Convert to fraction form
    340,284/522,324 = 522,324/x
  3. Step 3: Cross multiply
    340,284x = 522,324 × 522,324
  4. Step 4: Simplify right side
    340,284x = 272,822,360,976
  5. Step 5: Solve for x
    x = 272,822,360,976/340,284
  6. Step 6: Final answer
    x = 801,749.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.