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Finding the Third Proportional to 369,150 and 543,357

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Solution

The third proportional to 369,150 and 543,357 is: 799,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,150 : 543,357 = 543,357 : x
  2. Step 2: Convert to fraction form
    369,150/543,357 = 543,357/x
  3. Step 3: Cross multiply
    369,150x = 543,357 × 543,357
  4. Step 4: Simplify right side
    369,150x = 295,236,829,449
  5. Step 5: Solve for x
    x = 295,236,829,449/369,150
  6. Step 6: Final answer
    x = 799,774.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.