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Finding the Third Proportional to 315,970 and 693,166

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Solution

The third proportional to 315,970 and 693,166 is: 1,520,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,970 : 693,166 = 693,166 : x
  2. Step 2: Convert to fraction form
    315,970/693,166 = 693,166/x
  3. Step 3: Cross multiply
    315,970x = 693,166 × 693,166
  4. Step 4: Simplify right side
    315,970x = 480,479,103,556
  5. Step 5: Solve for x
    x = 480,479,103,556/315,970
  6. Step 6: Final answer
    x = 1,520,647.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.