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Finding the Third Proportional to 724,378.50 and 983,801.25

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Solution

The third proportional to 724,378.50 and 983,801.25 is: 1,336,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,378.50 : 983,801.25 = 983,801.25 : x
  2. Step 2: Convert to fraction form
    724,378.50/983,801.25 = 983,801.25/x
  3. Step 3: Cross multiply
    724,378.50x = 983,801.25 × 983,801.25
  4. Step 4: Simplify right side
    724,378.50x = 967,864,899,501.56
  5. Step 5: Solve for x
    x = 967,864,899,501.56/724,378.50
  6. Step 6: Final answer
    x = 1,336,131.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.