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Finding the Third Proportional to 769,490.50 and 1,149,929

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Solution

The third proportional to 769,490.50 and 1,149,929 is: 1,718,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,490.50 : 1,149,929 = 1,149,929 : x
  2. Step 2: Convert to fraction form
    769,490.50/1,149,929 = 1,149,929/x
  3. Step 3: Cross multiply
    769,490.50x = 1,149,929 × 1,149,929
  4. Step 4: Simplify right side
    769,490.50x = 1,322,336,705,041
  5. Step 5: Solve for x
    x = 1,322,336,705,041/769,490.50
  6. Step 6: Final answer
    x = 1,718,457.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.