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Finding the Third Proportional to 356,282 and 522,759

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Solution

The third proportional to 356,282 and 522,759 is: 767,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,282 : 522,759 = 522,759 : x
  2. Step 2: Convert to fraction form
    356,282/522,759 = 522,759/x
  3. Step 3: Cross multiply
    356,282x = 522,759 × 522,759
  4. Step 4: Simplify right side
    356,282x = 273,276,972,081
  5. Step 5: Solve for x
    x = 273,276,972,081/356,282
  6. Step 6: Final answer
    x = 767,024.36

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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.