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Finding the Third Proportional to 369,133 and 527,857

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Solution

The third proportional to 369,133 and 527,857 is: 754,830.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,133 : 527,857 = 527,857 : x
  2. Step 2: Convert to fraction form
    369,133/527,857 = 527,857/x
  3. Step 3: Cross multiply
    369,133x = 527,857 × 527,857
  4. Step 4: Simplify right side
    369,133x = 278,633,012,449
  5. Step 5: Solve for x
    x = 278,633,012,449/369,133
  6. Step 6: Final answer
    x = 754,830.95

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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.