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Finding the Third Proportional to 341,104 and 723,768

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Solution

The third proportional to 341,104 and 723,768 is: 1,535,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,104 : 723,768 = 723,768 : x
  2. Step 2: Convert to fraction form
    341,104/723,768 = 723,768/x
  3. Step 3: Cross multiply
    341,104x = 723,768 × 723,768
  4. Step 4: Simplify right side
    341,104x = 523,840,117,824
  5. Step 5: Solve for x
    x = 523,840,117,824/341,104
  6. Step 6: Final answer
    x = 1,535,719.66

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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.