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Finding the Third Proportional to 696,273.75 and 939,433.50

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Solution

The third proportional to 696,273.75 and 939,433.50 is: 1,267,511.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,273.75 : 939,433.50 = 939,433.50 : x
  2. Step 2: Convert to fraction form
    696,273.75/939,433.50 = 939,433.50/x
  3. Step 3: Cross multiply
    696,273.75x = 939,433.50 × 939,433.50
  4. Step 4: Simplify right side
    696,273.75x = 882,535,300,922.25
  5. Step 5: Solve for x
    x = 882,535,300,922.25/696,273.75
  6. Step 6: Final answer
    x = 1,267,511.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.