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Finding the Third Proportional to 368,418.50 and 585,839

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Solution

The third proportional to 368,418.50 and 585,839 is: 931,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,418.50 : 585,839 = 585,839 : x
  2. Step 2: Convert to fraction form
    368,418.50/585,839 = 585,839/x
  3. Step 3: Cross multiply
    368,418.50x = 585,839 × 585,839
  4. Step 4: Simplify right side
    368,418.50x = 343,207,333,921
  5. Step 5: Solve for x
    x = 343,207,333,921/368,418.50
  6. Step 6: Final answer
    x = 931,569.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.