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Finding the Third Proportional to 700,272 and 1,097,367.75

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Solution

The third proportional to 700,272 and 1,097,367.75 is: 1,719,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,272 : 1,097,367.75 = 1,097,367.75 : x
  2. Step 2: Convert to fraction form
    700,272/1,097,367.75 = 1,097,367.75/x
  3. Step 3: Cross multiply
    700,272x = 1,097,367.75 × 1,097,367.75
  4. Step 4: Simplify right side
    700,272x = 1,204,215,978,740.06
  5. Step 5: Solve for x
    x = 1,204,215,978,740.06/700,272
  6. Step 6: Final answer
    x = 1,719,640.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.