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Finding the Third Proportional to 363,519.75 and 776,518.50

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Solution

The third proportional to 363,519.75 and 776,518.50 is: 1,658,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,519.75 : 776,518.50 = 776,518.50 : x
  2. Step 2: Convert to fraction form
    363,519.75/776,518.50 = 776,518.50/x
  3. Step 3: Cross multiply
    363,519.75x = 776,518.50 × 776,518.50
  4. Step 4: Simplify right side
    363,519.75x = 602,980,980,842.25
  5. Step 5: Solve for x
    x = 602,980,980,842.25/363,519.75
  6. Step 6: Final answer
    x = 1,658,729.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.