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Finding the Third Proportional to 367,103 and 753,970

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Solution

The third proportional to 367,103 and 753,970 is: 1,548,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,103 : 753,970 = 753,970 : x
  2. Step 2: Convert to fraction form
    367,103/753,970 = 753,970/x
  3. Step 3: Cross multiply
    367,103x = 753,970 × 753,970
  4. Step 4: Simplify right side
    367,103x = 568,470,760,900
  5. Step 5: Solve for x
    x = 568,470,760,900/367,103
  6. Step 6: Final answer
    x = 1,548,532.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.