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Finding the Third Proportional to 777,495.59 and 1,160,246.21

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Solution

The third proportional to 777,495.59 and 1,160,246.21 is: 1,731,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,495.59 : 1,160,246.21 = 1,160,246.21 : x
  2. Step 2: Convert to fraction form
    777,495.59/1,160,246.21 = 1,160,246.21/x
  3. Step 3: Cross multiply
    777,495.59x = 1,160,246.21 × 1,160,246.21
  4. Step 4: Simplify right side
    777,495.59x = 1,346,171,279,059.37
  5. Step 5: Solve for x
    x = 1,346,171,279,059.37/777,495.59
  6. Step 6: Final answer
    x = 1,731,419.83

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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.