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Finding the Third Proportional to 318,083 and 693,324

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Solution

The third proportional to 318,083 and 693,324 is: 1,511,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,083 : 693,324 = 693,324 : x
  2. Step 2: Convert to fraction form
    318,083/693,324 = 693,324/x
  3. Step 3: Cross multiply
    318,083x = 693,324 × 693,324
  4. Step 4: Simplify right side
    318,083x = 480,698,168,976
  5. Step 5: Solve for x
    x = 480,698,168,976/318,083
  6. Step 6: Final answer
    x = 1,511,235.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.