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Finding the Third Proportional to 530,908.88 and 796,420.13

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Solution

The third proportional to 530,908.88 and 796,420.13 is: 1,194,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,908.88 : 796,420.13 = 796,420.13 : x
  2. Step 2: Convert to fraction form
    530,908.88/796,420.13 = 796,420.13/x
  3. Step 3: Cross multiply
    530,908.88x = 796,420.13 × 796,420.13
  4. Step 4: Simplify right side
    530,908.88x = 634,285,015,505.02
  5. Step 5: Solve for x
    x = 634,285,015,505.02/530,908.88
  6. Step 6: Final answer
    x = 1,194,715.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.