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Finding the Third Proportional to 358,914.50 and 788,584.50

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Solution

The third proportional to 358,914.50 and 788,584.50 is: 1,732,628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,914.50 : 788,584.50 = 788,584.50 : x
  2. Step 2: Convert to fraction form
    358,914.50/788,584.50 = 788,584.50/x
  3. Step 3: Cross multiply
    358,914.50x = 788,584.50 × 788,584.50
  4. Step 4: Simplify right side
    358,914.50x = 621,865,513,640.25
  5. Step 5: Solve for x
    x = 621,865,513,640.25/358,914.50
  6. Step 6: Final answer
    x = 1,732,628.56

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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.