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Finding the Third Proportional to 340,741.69 and 737,911.69

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Solution

The third proportional to 340,741.69 and 737,911.69 is: 1,598,024.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,741.69 : 737,911.69 = 737,911.69 : x
  2. Step 2: Convert to fraction form
    340,741.69/737,911.69 = 737,911.69/x
  3. Step 3: Cross multiply
    340,741.69x = 737,911.69 × 737,911.69
  4. Step 4: Simplify right side
    340,741.69x = 544,513,658,549.10
  5. Step 5: Solve for x
    x = 544,513,658,549.10/340,741.69
  6. Step 6: Final answer
    x = 1,598,024.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.