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Finding the Third Proportional to 529,092 and 798,406

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Solution

The third proportional to 529,092 and 798,406 is: 1,204,803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,092 : 798,406 = 798,406 : x
  2. Step 2: Convert to fraction form
    529,092/798,406 = 798,406/x
  3. Step 3: Cross multiply
    529,092x = 798,406 × 798,406
  4. Step 4: Simplify right side
    529,092x = 637,452,140,836
  5. Step 5: Solve for x
    x = 637,452,140,836/529,092
  6. Step 6: Final answer
    x = 1,204,803.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.