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Finding the Third Proportional to 345,249 and 529,902

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Solution

The third proportional to 345,249 and 529,902 is: 813,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,249 : 529,902 = 529,902 : x
  2. Step 2: Convert to fraction form
    345,249/529,902 = 529,902/x
  3. Step 3: Cross multiply
    345,249x = 529,902 × 529,902
  4. Step 4: Simplify right side
    345,249x = 280,796,129,604
  5. Step 5: Solve for x
    x = 280,796,129,604/345,249
  6. Step 6: Final answer
    x = 813,314.82

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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.