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Finding the Third Proportional to 777,507.75 and 1,160,265

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Solution

The third proportional to 777,507.75 and 1,160,265 is: 1,731,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,507.75 : 1,160,265 = 1,160,265 : x
  2. Step 2: Convert to fraction form
    777,507.75/1,160,265 = 1,160,265/x
  3. Step 3: Cross multiply
    777,507.75x = 1,160,265 × 1,160,265
  4. Step 4: Simplify right side
    777,507.75x = 1,346,214,870,225
  5. Step 5: Solve for x
    x = 1,346,214,870,225/777,507.75
  6. Step 6: Final answer
    x = 1,731,448.81

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Why These Related Problems?

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