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Finding the Third Proportional to 703,206 and 1,456,267.50

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Solution

The third proportional to 703,206 and 1,456,267.50 is: 3,015,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,206 : 1,456,267.50 = 1,456,267.50 : x
  2. Step 2: Convert to fraction form
    703,206/1,456,267.50 = 1,456,267.50/x
  3. Step 3: Cross multiply
    703,206x = 1,456,267.50 × 1,456,267.50
  4. Step 4: Simplify right side
    703,206x = 2,120,715,031,556.25
  5. Step 5: Solve for x
    x = 2,120,715,031,556.25/703,206
  6. Step 6: Final answer
    x = 3,015,780.63

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.