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Finding the Third Proportional to 772,303.50 and 1,195,825.50

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Solution

The third proportional to 772,303.50 and 1,195,825.50 is: 1,851,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,303.50 : 1,195,825.50 = 1,195,825.50 : x
  2. Step 2: Convert to fraction form
    772,303.50/1,195,825.50 = 1,195,825.50/x
  3. Step 3: Cross multiply
    772,303.50x = 1,195,825.50 × 1,195,825.50
  4. Step 4: Simplify right side
    772,303.50x = 1,429,998,626,450.25
  5. Step 5: Solve for x
    x = 1,429,998,626,450.25/772,303.50
  6. Step 6: Final answer
    x = 1,851,601.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.