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Finding the Third Proportional to 289,380.88 and 623,208

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Solution

The third proportional to 289,380.88 and 623,208 is: 1,342,135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,380.88 : 623,208 = 623,208 : x
  2. Step 2: Convert to fraction form
    289,380.88/623,208 = 623,208/x
  3. Step 3: Cross multiply
    289,380.88x = 623,208 × 623,208
  4. Step 4: Simplify right side
    289,380.88x = 388,388,211,264
  5. Step 5: Solve for x
    x = 388,388,211,264/289,380.88
  6. Step 6: Final answer
    x = 1,342,135.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.