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Finding the Third Proportional to 290,308.50 and 439,839

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Solution

The third proportional to 290,308.50 and 439,839 is: 666,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,308.50 : 439,839 = 439,839 : x
  2. Step 2: Convert to fraction form
    290,308.50/439,839 = 439,839/x
  3. Step 3: Cross multiply
    290,308.50x = 439,839 × 439,839
  4. Step 4: Simplify right side
    290,308.50x = 193,458,345,921
  5. Step 5: Solve for x
    x = 193,458,345,921/290,308.50
  6. Step 6: Final answer
    x = 666,388.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.