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Finding the Third Proportional to 368,420 and 585,843

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Solution

The third proportional to 368,420 and 585,843 is: 931,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,420 : 585,843 = 585,843 : x
  2. Step 2: Convert to fraction form
    368,420/585,843 = 585,843/x
  3. Step 3: Cross multiply
    368,420x = 585,843 × 585,843
  4. Step 4: Simplify right side
    368,420x = 343,212,020,649
  5. Step 5: Solve for x
    x = 343,212,020,649/368,420
  6. Step 6: Final answer
    x = 931,578.15

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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.