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Finding the Third Proportional to 264,386.25 and 397,166.63

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Solution

The third proportional to 264,386.25 and 397,166.63 is: 596,632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,386.25 : 397,166.63 = 397,166.63 : x
  2. Step 2: Convert to fraction form
    264,386.25/397,166.63 = 397,166.63/x
  3. Step 3: Cross multiply
    264,386.25x = 397,166.63 × 397,166.63
  4. Step 4: Simplify right side
    264,386.25x = 157,741,328,013.89
  5. Step 5: Solve for x
    x = 157,741,328,013.89/264,386.25
  6. Step 6: Final answer
    x = 596,632.12

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