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Finding the Third Proportional to 725,769 and 1,153,003.50

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Solution

The third proportional to 725,769 and 1,153,003.50 is: 1,831,735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,769 : 1,153,003.50 = 1,153,003.50 : x
  2. Step 2: Convert to fraction form
    725,769/1,153,003.50 = 1,153,003.50/x
  3. Step 3: Cross multiply
    725,769x = 1,153,003.50 × 1,153,003.50
  4. Step 4: Simplify right side
    725,769x = 1,329,417,071,012.25
  5. Step 5: Solve for x
    x = 1,329,417,071,012.25/725,769
  6. Step 6: Final answer
    x = 1,831,735.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.