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Finding the Third Proportional to 316,134 and 603,108

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Solution

The third proportional to 316,134 and 603,108 is: 1,150,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,134 : 603,108 = 603,108 : x
  2. Step 2: Convert to fraction form
    316,134/603,108 = 603,108/x
  3. Step 3: Cross multiply
    316,134x = 603,108 × 603,108
  4. Step 4: Simplify right side
    316,134x = 363,739,259,664
  5. Step 5: Solve for x
    x = 363,739,259,664/316,134
  6. Step 6: Final answer
    x = 1,150,585.70

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.