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Finding the Third Proportional to 362,428 and 768,704

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Solution

The third proportional to 362,428 and 768,704 is: 1,630,408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,428 : 768,704 = 768,704 : x
  2. Step 2: Convert to fraction form
    362,428/768,704 = 768,704/x
  3. Step 3: Cross multiply
    362,428x = 768,704 × 768,704
  4. Step 4: Simplify right side
    362,428x = 590,905,839,616
  5. Step 5: Solve for x
    x = 590,905,839,616/362,428
  6. Step 6: Final answer
    x = 1,630,408.91

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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.