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Finding the Third Proportional to 415,678.50 and 888,219

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Solution

The third proportional to 415,678.50 and 888,219 is: 1,897,940.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,678.50 : 888,219 = 888,219 : x
  2. Step 2: Convert to fraction form
    415,678.50/888,219 = 888,219/x
  3. Step 3: Cross multiply
    415,678.50x = 888,219 × 888,219
  4. Step 4: Simplify right side
    415,678.50x = 788,932,991,961
  5. Step 5: Solve for x
    x = 788,932,991,961/415,678.50
  6. Step 6: Final answer
    x = 1,897,940.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.