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Finding the Third Proportional to 364,803 and 548,372

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Solution

The third proportional to 364,803 and 548,372 is: 824,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,803 : 548,372 = 548,372 : x
  2. Step 2: Convert to fraction form
    364,803/548,372 = 548,372/x
  3. Step 3: Cross multiply
    364,803x = 548,372 × 548,372
  4. Step 4: Simplify right side
    364,803x = 300,711,850,384
  5. Step 5: Solve for x
    x = 300,711,850,384/364,803
  6. Step 6: Final answer
    x = 824,312.99

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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.