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Finding the Third Proportional to 347,629.50 and 761,670

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Solution

The third proportional to 347,629.50 and 761,670 is: 1,668,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,629.50 : 761,670 = 761,670 : x
  2. Step 2: Convert to fraction form
    347,629.50/761,670 = 761,670/x
  3. Step 3: Cross multiply
    347,629.50x = 761,670 × 761,670
  4. Step 4: Simplify right side
    347,629.50x = 580,141,188,900
  5. Step 5: Solve for x
    x = 580,141,188,900/347,629.50
  6. Step 6: Final answer
    x = 1,668,849.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.