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Finding the Third Proportional to 644,491 and 966,289.50

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Solution

The third proportional to 644,491 and 966,289.50 is: 1,448,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,491 : 966,289.50 = 966,289.50 : x
  2. Step 2: Convert to fraction form
    644,491/966,289.50 = 966,289.50/x
  3. Step 3: Cross multiply
    644,491x = 966,289.50 × 966,289.50
  4. Step 4: Simplify right side
    644,491x = 933,715,397,810.25
  5. Step 5: Solve for x
    x = 933,715,397,810.25/644,491
  6. Step 6: Final answer
    x = 1,448,764.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.