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Finding the Third Proportional to 438,538.50 and 990,510.75

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Solution

The third proportional to 438,538.50 and 990,510.75 is: 2,237,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,538.50 : 990,510.75 = 990,510.75 : x
  2. Step 2: Convert to fraction form
    438,538.50/990,510.75 = 990,510.75/x
  3. Step 3: Cross multiply
    438,538.50x = 990,510.75 × 990,510.75
  4. Step 4: Simplify right side
    438,538.50x = 981,111,545,865.56
  5. Step 5: Solve for x
    x = 981,111,545,865.56/438,538.50
  6. Step 6: Final answer
    x = 2,237,230.13

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.