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Finding the Third Proportional to 483,826.92 and 768,643.17

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Solution

The third proportional to 483,826.92 and 768,643.17 is: 1,221,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,826.92 : 768,643.17 = 768,643.17 : x
  2. Step 2: Convert to fraction form
    483,826.92/768,643.17 = 768,643.17/x
  3. Step 3: Cross multiply
    483,826.92x = 768,643.17 × 768,643.17
  4. Step 4: Simplify right side
    483,826.92x = 590,812,325,670.06
  5. Step 5: Solve for x
    x = 590,812,325,670.06/483,826.92
  6. Step 6: Final answer
    x = 1,221,123.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.