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Finding the Third Proportional to 341,146.69 and 723,880.13

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Solution

The third proportional to 341,146.69 and 723,880.13 is: 1,536,003.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,146.69 : 723,880.13 = 723,880.13 : x
  2. Step 2: Convert to fraction form
    341,146.69/723,880.13 = 723,880.13/x
  3. Step 3: Cross multiply
    341,146.69x = 723,880.13 × 723,880.13
  4. Step 4: Simplify right side
    341,146.69x = 524,002,435,370.02
  5. Step 5: Solve for x
    x = 524,002,435,370.02/341,146.69
  6. Step 6: Final answer
    x = 1,536,003.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.