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Finding the Third Proportional to 289,501.50 and 637,900.50

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Solution

The third proportional to 289,501.50 and 637,900.50 is: 1,405,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,501.50 : 637,900.50 = 637,900.50 : x
  2. Step 2: Convert to fraction form
    289,501.50/637,900.50 = 637,900.50/x
  3. Step 3: Cross multiply
    289,501.50x = 637,900.50 × 637,900.50
  4. Step 4: Simplify right side
    289,501.50x = 406,917,047,900.25
  5. Step 5: Solve for x
    x = 406,917,047,900.25/289,501.50
  6. Step 6: Final answer
    x = 1,405,578.37

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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.