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Finding the Third Proportional to 208,615.50 and 450,491.63

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Solution

The third proportional to 208,615.50 and 450,491.63 is: 972,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,615.50 : 450,491.63 = 450,491.63 : x
  2. Step 2: Convert to fraction form
    208,615.50/450,491.63 = 450,491.63/x
  3. Step 3: Cross multiply
    208,615.50x = 450,491.63 × 450,491.63
  4. Step 4: Simplify right side
    208,615.50x = 202,942,704,195.14
  5. Step 5: Solve for x
    x = 202,942,704,195.14/208,615.50
  6. Step 6: Final answer
    x = 972,807.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.