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Finding the Third Proportional to 347,737.50 and 761,976

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Solution

The third proportional to 347,737.50 and 761,976 is: 1,669,671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,737.50 : 761,976 = 761,976 : x
  2. Step 2: Convert to fraction form
    347,737.50/761,976 = 761,976/x
  3. Step 3: Cross multiply
    347,737.50x = 761,976 × 761,976
  4. Step 4: Simplify right side
    347,737.50x = 580,607,424,576
  5. Step 5: Solve for x
    x = 580,607,424,576/347,737.50
  6. Step 6: Final answer
    x = 1,669,671.59

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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.