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Finding the Third Proportional to 738,215.44 and 1,055,647.69

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Solution

The third proportional to 738,215.44 and 1,055,647.69 is: 1,509,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,215.44 : 1,055,647.69 = 1,055,647.69 : x
  2. Step 2: Convert to fraction form
    738,215.44/1,055,647.69 = 1,055,647.69/x
  3. Step 3: Cross multiply
    738,215.44x = 1,055,647.69 × 1,055,647.69
  4. Step 4: Simplify right side
    738,215.44x = 1,114,392,040,124.10
  5. Step 5: Solve for x
    x = 1,114,392,040,124.10/738,215.44
  6. Step 6: Final answer
    x = 1,509,575.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.