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Finding the Third Proportional to 724,022.93 and 983,313.42

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Solution

The third proportional to 724,022.93 and 983,313.42 is: 1,335,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,022.93 : 983,313.42 = 983,313.42 : x
  2. Step 2: Convert to fraction form
    724,022.93/983,313.42 = 983,313.42/x
  3. Step 3: Cross multiply
    724,022.93x = 983,313.42 × 983,313.42
  4. Step 4: Simplify right side
    724,022.93x = 966,905,285,639.52
  5. Step 5: Solve for x
    x = 966,905,285,639.52/724,022.93
  6. Step 6: Final answer
    x = 1,335,462.24

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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.