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Finding the Third Proportional to 368,126 and 769,603

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Solution

The third proportional to 368,126 and 769,603 is: 1,608,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,126 : 769,603 = 769,603 : x
  2. Step 2: Convert to fraction form
    368,126/769,603 = 769,603/x
  3. Step 3: Cross multiply
    368,126x = 769,603 × 769,603
  4. Step 4: Simplify right side
    368,126x = 592,288,777,609
  5. Step 5: Solve for x
    x = 592,288,777,609/368,126
  6. Step 6: Final answer
    x = 1,608,929.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.