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Finding the Third Proportional to 467,007 and 712,174.50

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Solution

The third proportional to 467,007 and 712,174.50 is: 1,086,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,007 : 712,174.50 = 712,174.50 : x
  2. Step 2: Convert to fraction form
    467,007/712,174.50 = 712,174.50/x
  3. Step 3: Cross multiply
    467,007x = 712,174.50 × 712,174.50
  4. Step 4: Simplify right side
    467,007x = 507,192,518,450.25
  5. Step 5: Solve for x
    x = 507,192,518,450.25/467,007
  6. Step 6: Final answer
    x = 1,086,049.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.