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Finding the Third Proportional to 340,292 and 522,334

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Solution

The third proportional to 340,292 and 522,334 is: 801,760.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,292 : 522,334 = 522,334 : x
  2. Step 2: Convert to fraction form
    340,292/522,334 = 522,334/x
  3. Step 3: Cross multiply
    340,292x = 522,334 × 522,334
  4. Step 4: Simplify right side
    340,292x = 272,832,807,556
  5. Step 5: Solve for x
    x = 272,832,807,556/340,292
  6. Step 6: Final answer
    x = 801,760.86

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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.