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Finding the Third Proportional to 264,615.75 and 399,388.50

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Solution

The third proportional to 264,615.75 and 399,388.50 is: 602,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,615.75 : 399,388.50 = 399,388.50 : x
  2. Step 2: Convert to fraction form
    264,615.75/399,388.50 = 399,388.50/x
  3. Step 3: Cross multiply
    264,615.75x = 399,388.50 × 399,388.50
  4. Step 4: Simplify right side
    264,615.75x = 159,511,173,932.25
  5. Step 5: Solve for x
    x = 159,511,173,932.25/264,615.75
  6. Step 6: Final answer
    x = 602,803.02

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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.