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Finding the Third Proportional to 421,114.50 and 913,174.50

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Solution

The third proportional to 421,114.50 and 913,174.50 is: 1,980,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,114.50 : 913,174.50 = 913,174.50 : x
  2. Step 2: Convert to fraction form
    421,114.50/913,174.50 = 913,174.50/x
  3. Step 3: Cross multiply
    421,114.50x = 913,174.50 × 913,174.50
  4. Step 4: Simplify right side
    421,114.50x = 833,887,667,450.25
  5. Step 5: Solve for x
    x = 833,887,667,450.25/421,114.50
  6. Step 6: Final answer
    x = 1,980,192.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.