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Finding the Third Proportional to 368,416 and 585,837

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Solution

The third proportional to 368,416 and 585,837 is: 931,569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,416 : 585,837 = 585,837 : x
  2. Step 2: Convert to fraction form
    368,416/585,837 = 585,837/x
  3. Step 3: Cross multiply
    368,416x = 585,837 × 585,837
  4. Step 4: Simplify right side
    368,416x = 343,204,990,569
  5. Step 5: Solve for x
    x = 343,204,990,569/368,416
  6. Step 6: Final answer
    x = 931,569.18

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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.