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Finding the Third Proportional to 592,312 and 844,164

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Solution

The third proportional to 592,312 and 844,164 is: 1,203,103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,312 : 844,164 = 844,164 : x
  2. Step 2: Convert to fraction form
    592,312/844,164 = 844,164/x
  3. Step 3: Cross multiply
    592,312x = 844,164 × 844,164
  4. Step 4: Simplify right side
    592,312x = 712,612,858,896
  5. Step 5: Solve for x
    x = 712,612,858,896/592,312
  6. Step 6: Final answer
    x = 1,203,103.87

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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.