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Finding the Third Proportional to 777,515.63 and 1,160,277.75

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Solution

The third proportional to 777,515.63 and 1,160,277.75 is: 1,731,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,515.63 : 1,160,277.75 = 1,160,277.75 : x
  2. Step 2: Convert to fraction form
    777,515.63/1,160,277.75 = 1,160,277.75/x
  3. Step 3: Cross multiply
    777,515.63x = 1,160,277.75 × 1,160,277.75
  4. Step 4: Simplify right side
    777,515.63x = 1,346,244,457,145.06
  5. Step 5: Solve for x
    x = 1,346,244,457,145.06/777,515.63
  6. Step 6: Final answer
    x = 1,731,469.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.