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Finding the Third Proportional to 289,511.72 and 439,188.33

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Solution

The third proportional to 289,511.72 and 439,188.33 is: 666,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,511.72 : 439,188.33 = 439,188.33 : x
  2. Step 2: Convert to fraction form
    289,511.72/439,188.33 = 439,188.33/x
  3. Step 3: Cross multiply
    289,511.72x = 439,188.33 × 439,188.33
  4. Step 4: Simplify right side
    289,511.72x = 192,886,387,561.23
  5. Step 5: Solve for x
    x = 192,886,387,561.23/289,511.72
  6. Step 6: Final answer
    x = 666,247.25

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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.