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Finding the Third Proportional to 364,224 and 547,392

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Solution

The third proportional to 364,224 and 547,392 is: 822,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,224 : 547,392 = 547,392 : x
  2. Step 2: Convert to fraction form
    364,224/547,392 = 547,392/x
  3. Step 3: Cross multiply
    364,224x = 547,392 × 547,392
  4. Step 4: Simplify right side
    364,224x = 299,638,001,664
  5. Step 5: Solve for x
    x = 299,638,001,664/364,224
  6. Step 6: Final answer
    x = 822,675.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.