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Finding the Third Proportional to 345,524 and 533,062

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Solution

The third proportional to 345,524 and 533,062 is: 822,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,524 : 533,062 = 533,062 : x
  2. Step 2: Convert to fraction form
    345,524/533,062 = 533,062/x
  3. Step 3: Cross multiply
    345,524x = 533,062 × 533,062
  4. Step 4: Simplify right side
    345,524x = 284,155,095,844
  5. Step 5: Solve for x
    x = 284,155,095,844/345,524
  6. Step 6: Final answer
    x = 822,388.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.