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Finding the Third Proportional to 603,670.50 and 816,932.25

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Solution

The third proportional to 603,670.50 and 816,932.25 is: 1,105,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,670.50 : 816,932.25 = 816,932.25 : x
  2. Step 2: Convert to fraction form
    603,670.50/816,932.25 = 816,932.25/x
  3. Step 3: Cross multiply
    603,670.50x = 816,932.25 × 816,932.25
  4. Step 4: Simplify right side
    603,670.50x = 667,378,301,090.06
  5. Step 5: Solve for x
    x = 667,378,301,090.06/603,670.50
  6. Step 6: Final answer
    x = 1,105,534.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.