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Finding the Third Proportional to 369,767 and 528,400

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Solution

The third proportional to 369,767 and 528,400 is: 755,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,767 : 528,400 = 528,400 : x
  2. Step 2: Convert to fraction form
    369,767/528,400 = 528,400/x
  3. Step 3: Cross multiply
    369,767x = 528,400 × 528,400
  4. Step 4: Simplify right side
    369,767x = 279,206,560,000
  5. Step 5: Solve for x
    x = 279,206,560,000/369,767
  6. Step 6: Final answer
    x = 755,087.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.