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Finding the Third Proportional to 301,569 and 663,108

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Solution

The third proportional to 301,569 and 663,108 is: 1,458,081.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,569 : 663,108 = 663,108 : x
  2. Step 2: Convert to fraction form
    301,569/663,108 = 663,108/x
  3. Step 3: Cross multiply
    301,569x = 663,108 × 663,108
  4. Step 4: Simplify right side
    301,569x = 439,712,219,664
  5. Step 5: Solve for x
    x = 439,712,219,664/301,569
  6. Step 6: Final answer
    x = 1,458,081.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.