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Finding the Third Proportional to 354,633.75 and 769,549.50

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Solution

The third proportional to 354,633.75 and 769,549.50 is: 1,669,909.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,633.75 : 769,549.50 = 769,549.50 : x
  2. Step 2: Convert to fraction form
    354,633.75/769,549.50 = 769,549.50/x
  3. Step 3: Cross multiply
    354,633.75x = 769,549.50 × 769,549.50
  4. Step 4: Simplify right side
    354,633.75x = 592,206,432,950.25
  5. Step 5: Solve for x
    x = 592,206,432,950.25/354,633.75
  6. Step 6: Final answer
    x = 1,669,909.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.