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Finding the Third Proportional to 345,264 and 529,924

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Solution

The third proportional to 345,264 and 529,924 is: 813,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,264 : 529,924 = 529,924 : x
  2. Step 2: Convert to fraction form
    345,264/529,924 = 529,924/x
  3. Step 3: Cross multiply
    345,264x = 529,924 × 529,924
  4. Step 4: Simplify right side
    345,264x = 280,819,445,776
  5. Step 5: Solve for x
    x = 280,819,445,776/345,264
  6. Step 6: Final answer
    x = 813,347.02

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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.