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Finding the Third Proportional to 332,933 and 719,076.50

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Solution

The third proportional to 332,933 and 719,076.50 is: 1,553,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,933 : 719,076.50 = 719,076.50 : x
  2. Step 2: Convert to fraction form
    332,933/719,076.50 = 719,076.50/x
  3. Step 3: Cross multiply
    332,933x = 719,076.50 × 719,076.50
  4. Step 4: Simplify right side
    332,933x = 517,071,012,852.25
  5. Step 5: Solve for x
    x = 517,071,012,852.25/332,933
  6. Step 6: Final answer
    x = 1,553,078.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.