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Finding the Third Proportional to 503,736.75 and 698,186.25

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Solution

The third proportional to 503,736.75 and 698,186.25 is: 967,696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,736.75 : 698,186.25 = 698,186.25 : x
  2. Step 2: Convert to fraction form
    503,736.75/698,186.25 = 698,186.25/x
  3. Step 3: Cross multiply
    503,736.75x = 698,186.25 × 698,186.25
  4. Step 4: Simplify right side
    503,736.75x = 487,464,039,689.06
  5. Step 5: Solve for x
    x = 487,464,039,689.06/503,736.75
  6. Step 6: Final answer
    x = 967,696.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.