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Finding the Third Proportional to 368,858 and 585,543

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Solution

The third proportional to 368,858 and 585,543 is: 929,519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,858 : 585,543 = 585,543 : x
  2. Step 2: Convert to fraction form
    368,858/585,543 = 585,543/x
  3. Step 3: Cross multiply
    368,858x = 585,543 × 585,543
  4. Step 4: Simplify right side
    368,858x = 342,860,604,849
  5. Step 5: Solve for x
    x = 342,860,604,849/368,858
  6. Step 6: Final answer
    x = 929,519.23

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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.