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Finding the Third Proportional to 341,105 and 723,770

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Solution

The third proportional to 341,105 and 723,770 is: 1,535,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,105 : 723,770 = 723,770 : x
  2. Step 2: Convert to fraction form
    341,105/723,770 = 723,770/x
  3. Step 3: Cross multiply
    341,105x = 723,770 × 723,770
  4. Step 4: Simplify right side
    341,105x = 523,843,012,900
  5. Step 5: Solve for x
    x = 523,843,012,900/341,105
  6. Step 6: Final answer
    x = 1,535,723.64

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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.