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Finding the Third Proportional to 541,719 and 724,729.50

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Solution

The third proportional to 541,719 and 724,729.50 is: 969,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,719 : 724,729.50 = 724,729.50 : x
  2. Step 2: Convert to fraction form
    541,719/724,729.50 = 724,729.50/x
  3. Step 3: Cross multiply
    541,719x = 724,729.50 × 724,729.50
  4. Step 4: Simplify right side
    541,719x = 525,232,848,170.25
  5. Step 5: Solve for x
    x = 525,232,848,170.25/541,719
  6. Step 6: Final answer
    x = 969,566.97

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.