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Finding the Third Proportional to 264,554.25 and 399,216.75

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Solution

The third proportional to 264,554.25 and 399,216.75 is: 602,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,554.25 : 399,216.75 = 399,216.75 : x
  2. Step 2: Convert to fraction form
    264,554.25/399,216.75 = 399,216.75/x
  3. Step 3: Cross multiply
    264,554.25x = 399,216.75 × 399,216.75
  4. Step 4: Simplify right side
    264,554.25x = 159,374,013,480.56
  5. Step 5: Solve for x
    x = 159,374,013,480.56/264,554.25
  6. Step 6: Final answer
    x = 602,424.70

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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.