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Finding the Third Proportional to 592,320 and 844,176

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Solution

The third proportional to 592,320 and 844,176 is: 1,203,121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,320 : 844,176 = 844,176 : x
  2. Step 2: Convert to fraction form
    592,320/844,176 = 844,176/x
  3. Step 3: Cross multiply
    592,320x = 844,176 × 844,176
  4. Step 4: Simplify right side
    592,320x = 712,633,118,976
  5. Step 5: Solve for x
    x = 712,633,118,976/592,320
  6. Step 6: Final answer
    x = 1,203,121.82

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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.