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Finding the Third Proportional to 483,942.09 and 732,474.14

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Solution

The third proportional to 483,942.09 and 732,474.14 is: 1,108,641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,942.09 : 732,474.14 = 732,474.14 : x
  2. Step 2: Convert to fraction form
    483,942.09/732,474.14 = 732,474.14/x
  3. Step 3: Cross multiply
    483,942.09x = 732,474.14 × 732,474.14
  4. Step 4: Simplify right side
    483,942.09x = 536,518,366,684.33
  5. Step 5: Solve for x
    x = 536,518,366,684.33/483,942.09
  6. Step 6: Final answer
    x = 1,108,641.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.