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Finding the Third Proportional to 363,055.50 and 788,197.50

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Solution

The third proportional to 363,055.50 and 788,197.50 is: 1,711,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,055.50 : 788,197.50 = 788,197.50 : x
  2. Step 2: Convert to fraction form
    363,055.50/788,197.50 = 788,197.50/x
  3. Step 3: Cross multiply
    363,055.50x = 788,197.50 × 788,197.50
  4. Step 4: Simplify right side
    363,055.50x = 621,255,299,006.25
  5. Step 5: Solve for x
    x = 621,255,299,006.25/363,055.50
  6. Step 6: Final answer
    x = 1,711,185.48

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