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Finding the Third Proportional to 619,866 and 908,563.50

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Solution

The third proportional to 619,866 and 908,563.50 is: 1,331,719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,866 : 908,563.50 = 908,563.50 : x
  2. Step 2: Convert to fraction form
    619,866/908,563.50 = 908,563.50/x
  3. Step 3: Cross multiply
    619,866x = 908,563.50 × 908,563.50
  4. Step 4: Simplify right side
    619,866x = 825,487,633,532.25
  5. Step 5: Solve for x
    x = 825,487,633,532.25/619,866
  6. Step 6: Final answer
    x = 1,331,719.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.