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Finding the Third Proportional to 369,124 and 527,847

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Solution

The third proportional to 369,124 and 527,847 is: 754,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,124 : 527,847 = 527,847 : x
  2. Step 2: Convert to fraction form
    369,124/527,847 = 527,847/x
  3. Step 3: Cross multiply
    369,124x = 527,847 × 527,847
  4. Step 4: Simplify right side
    369,124x = 278,622,455,409
  5. Step 5: Solve for x
    x = 278,622,455,409/369,124
  6. Step 6: Final answer
    x = 754,820.75

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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.