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Finding the Third Proportional to 366,416 and 780,832

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Solution

The third proportional to 366,416 and 780,832 is: 1,663,951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,416 : 780,832 = 780,832 : x
  2. Step 2: Convert to fraction form
    366,416/780,832 = 780,832/x
  3. Step 3: Cross multiply
    366,416x = 780,832 × 780,832
  4. Step 4: Simplify right side
    366,416x = 609,698,612,224
  5. Step 5: Solve for x
    x = 609,698,612,224/366,416
  6. Step 6: Final answer
    x = 1,663,951.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.