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Finding the Third Proportional to 619,867.50 and 939,157.50

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Solution

The third proportional to 619,867.50 and 939,157.50 is: 1,422,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,867.50 : 939,157.50 = 939,157.50 : x
  2. Step 2: Convert to fraction form
    619,867.50/939,157.50 = 939,157.50/x
  3. Step 3: Cross multiply
    619,867.50x = 939,157.50 × 939,157.50
  4. Step 4: Simplify right side
    619,867.50x = 882,016,809,806.25
  5. Step 5: Solve for x
    x = 882,016,809,806.25/619,867.50
  6. Step 6: Final answer
    x = 1,422,911.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.