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Finding the Third Proportional to 272,558.67 and 406,174.50

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Solution

The third proportional to 272,558.67 and 406,174.50 is: 605,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,558.67 : 406,174.50 = 406,174.50 : x
  2. Step 2: Convert to fraction form
    272,558.67/406,174.50 = 406,174.50/x
  3. Step 3: Cross multiply
    272,558.67x = 406,174.50 × 406,174.50
  4. Step 4: Simplify right side
    272,558.67x = 164,977,724,450.25
  5. Step 5: Solve for x
    x = 164,977,724,450.25/272,558.67
  6. Step 6: Final answer
    x = 605,292.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.