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Finding the Third Proportional to 317,402 and 661,108

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Solution

The third proportional to 317,402 and 661,108 is: 1,377,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,402 : 661,108 = 661,108 : x
  2. Step 2: Convert to fraction form
    317,402/661,108 = 661,108/x
  3. Step 3: Cross multiply
    317,402x = 661,108 × 661,108
  4. Step 4: Simplify right side
    317,402x = 437,063,787,664
  5. Step 5: Solve for x
    x = 437,063,787,664/317,402
  6. Step 6: Final answer
    x = 1,377,003.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.