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Finding the Third Proportional to 366,960 and 808,416

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Solution

The third proportional to 366,960 and 808,416 is: 1,780,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,960 : 808,416 = 808,416 : x
  2. Step 2: Convert to fraction form
    366,960/808,416 = 808,416/x
  3. Step 3: Cross multiply
    366,960x = 808,416 × 808,416
  4. Step 4: Simplify right side
    366,960x = 653,536,429,056
  5. Step 5: Solve for x
    x = 653,536,429,056/366,960
  6. Step 6: Final answer
    x = 1,780,947.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.