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Finding the Third Proportional to 523,821.94 and 811,382.06

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Solution

The third proportional to 523,821.94 and 811,382.06 is: 1,256,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,821.94 : 811,382.06 = 811,382.06 : x
  2. Step 2: Convert to fraction form
    523,821.94/811,382.06 = 811,382.06/x
  3. Step 3: Cross multiply
    523,821.94x = 811,382.06 × 811,382.06
  4. Step 4: Simplify right side
    523,821.94x = 658,340,851,346.75
  5. Step 5: Solve for x
    x = 658,340,851,346.75/523,821.94
  6. Step 6: Final answer
    x = 1,256,802.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.