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Finding the Third Proportional to 366,636.38 and 766,756.13

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Solution

The third proportional to 366,636.38 and 766,756.13 is: 1,603,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,636.38 : 766,756.13 = 766,756.13 : x
  2. Step 2: Convert to fraction form
    366,636.38/766,756.13 = 766,756.13/x
  3. Step 3: Cross multiply
    366,636.38x = 766,756.13 × 766,756.13
  4. Step 4: Simplify right side
    366,636.38x = 587,914,955,225.02
  5. Step 5: Solve for x
    x = 587,914,955,225.02/366,636.38
  6. Step 6: Final answer
    x = 1,603,536.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.