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Finding the Third Proportional to 377,696 and 736,117

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Solution

The third proportional to 377,696 and 736,117 is: 1,434,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,696 : 736,117 = 736,117 : x
  2. Step 2: Convert to fraction form
    377,696/736,117 = 736,117/x
  3. Step 3: Cross multiply
    377,696x = 736,117 × 736,117
  4. Step 4: Simplify right side
    377,696x = 541,868,237,689
  5. Step 5: Solve for x
    x = 541,868,237,689/377,696
  6. Step 6: Final answer
    x = 1,434,667.66

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.