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Finding the Third Proportional to 264,486.94 and 397,320.19

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Solution

The third proportional to 264,486.94 and 397,320.19 is: 596,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,486.94 : 397,320.19 = 397,320.19 : x
  2. Step 2: Convert to fraction form
    264,486.94/397,320.19 = 397,320.19/x
  3. Step 3: Cross multiply
    264,486.94x = 397,320.19 × 397,320.19
  4. Step 4: Simplify right side
    264,486.94x = 157,863,331,395.04
  5. Step 5: Solve for x
    x = 157,863,331,395.04/264,486.94
  6. Step 6: Final answer
    x = 596,866.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.