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Finding the Third Proportional to 439,256.50 and 962,562.50

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Solution

The third proportional to 439,256.50 and 962,562.50 is: 2,109,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,256.50 : 962,562.50 = 962,562.50 : x
  2. Step 2: Convert to fraction form
    439,256.50/962,562.50 = 962,562.50/x
  3. Step 3: Cross multiply
    439,256.50x = 962,562.50 × 962,562.50
  4. Step 4: Simplify right side
    439,256.50x = 926,526,566,406.25
  5. Step 5: Solve for x
    x = 926,526,566,406.25/439,256.50
  6. Step 6: Final answer
    x = 2,109,306.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.