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Finding the Third Proportional to 368,842 and 586,493

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Solution

The third proportional to 368,842 and 586,493 is: 932,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,842 : 586,493 = 586,493 : x
  2. Step 2: Convert to fraction form
    368,842/586,493 = 586,493/x
  3. Step 3: Cross multiply
    368,842x = 586,493 × 586,493
  4. Step 4: Simplify right side
    368,842x = 343,974,039,049
  5. Step 5: Solve for x
    x = 343,974,039,049/368,842
  6. Step 6: Final answer
    x = 932,578.28

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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.