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Finding the Third Proportional to 340,040 and 732,112

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Solution

The third proportional to 340,040 and 732,112 is: 1,576,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,040 : 732,112 = 732,112 : x
  2. Step 2: Convert to fraction form
    340,040/732,112 = 732,112/x
  3. Step 3: Cross multiply
    340,040x = 732,112 × 732,112
  4. Step 4: Simplify right side
    340,040x = 535,987,980,544
  5. Step 5: Solve for x
    x = 535,987,980,544/340,040
  6. Step 6: Final answer
    x = 1,576,249.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.