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Finding the Third Proportional to 289,496.06 and 637,889.25

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Solution

The third proportional to 289,496.06 and 637,889.25 is: 1,405,555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,496.06 : 637,889.25 = 637,889.25 : x
  2. Step 2: Convert to fraction form
    289,496.06/637,889.25 = 637,889.25/x
  3. Step 3: Cross multiply
    289,496.06x = 637,889.25 × 637,889.25
  4. Step 4: Simplify right side
    289,496.06x = 406,902,695,265.56
  5. Step 5: Solve for x
    x = 406,902,695,265.56/289,496.06
  6. Step 6: Final answer
    x = 1,405,555.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.