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Finding the Third Proportional to 592,208 and 844,024

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Solution

The third proportional to 592,208 and 844,024 is: 1,202,916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,208 : 844,024 = 844,024 : x
  2. Step 2: Convert to fraction form
    592,208/844,024 = 844,024/x
  3. Step 3: Cross multiply
    592,208x = 844,024 × 844,024
  4. Step 4: Simplify right side
    592,208x = 712,376,512,576
  5. Step 5: Solve for x
    x = 712,376,512,576/592,208
  6. Step 6: Final answer
    x = 1,202,916.06

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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.