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Finding the Third Proportional to 365,346 and 573,267

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Solution

The third proportional to 365,346 and 573,267 is: 899,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,346 : 573,267 = 573,267 : x
  2. Step 2: Convert to fraction form
    365,346/573,267 = 573,267/x
  3. Step 3: Cross multiply
    365,346x = 573,267 × 573,267
  4. Step 4: Simplify right side
    365,346x = 328,635,053,289
  5. Step 5: Solve for x
    x = 328,635,053,289/365,346
  6. Step 6: Final answer
    x = 899,517.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.