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Finding the Third Proportional to 355,713 and 770,944.50

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Solution

The third proportional to 355,713 and 770,944.50 is: 1,670,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,713 : 770,944.50 = 770,944.50 : x
  2. Step 2: Convert to fraction form
    355,713/770,944.50 = 770,944.50/x
  3. Step 3: Cross multiply
    355,713x = 770,944.50 × 770,944.50
  4. Step 4: Simplify right side
    355,713x = 594,355,422,080.25
  5. Step 5: Solve for x
    x = 594,355,422,080.25/355,713
  6. Step 6: Final answer
    x = 1,670,884.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.