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Finding the Third Proportional to 289,495.69 and 637,888.50

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Solution

The third proportional to 289,495.69 and 637,888.50 is: 1,405,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,495.69 : 637,888.50 = 637,888.50 : x
  2. Step 2: Convert to fraction form
    289,495.69/637,888.50 = 637,888.50/x
  3. Step 3: Cross multiply
    289,495.69x = 637,888.50 × 637,888.50
  4. Step 4: Simplify right side
    289,495.69x = 406,901,738,432.25
  5. Step 5: Solve for x
    x = 406,901,738,432.25/289,495.69
  6. Step 6: Final answer
    x = 1,405,553.71

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Why These Related Problems?

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