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Finding the Third Proportional to 764,007.75 and 1,033,907.63

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Solution

The third proportional to 764,007.75 and 1,033,907.63 is: 1,399,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,007.75 : 1,033,907.63 = 1,033,907.63 : x
  2. Step 2: Convert to fraction form
    764,007.75/1,033,907.63 = 1,033,907.63/x
  3. Step 3: Cross multiply
    764,007.75x = 1,033,907.63 × 1,033,907.63
  4. Step 4: Simplify right side
    764,007.75x = 1,068,964,977,033.14
  5. Step 5: Solve for x
    x = 1,068,964,977,033.14/764,007.75
  6. Step 6: Final answer
    x = 1,399,154.63

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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.