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Finding the Third Proportional to 592,304 and 844,152

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Solution

The third proportional to 592,304 and 844,152 is: 1,203,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,304 : 844,152 = 844,152 : x
  2. Step 2: Convert to fraction form
    592,304/844,152 = 844,152/x
  3. Step 3: Cross multiply
    592,304x = 844,152 × 844,152
  4. Step 4: Simplify right side
    592,304x = 712,592,599,104
  5. Step 5: Solve for x
    x = 712,592,599,104/592,304
  6. Step 6: Final answer
    x = 1,203,085.91

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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.