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Finding the Third Proportional to 379,109 and 570,203

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Solution

The third proportional to 379,109 and 570,203 is: 857,620.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,109 : 570,203 = 570,203 : x
  2. Step 2: Convert to fraction form
    379,109/570,203 = 570,203/x
  3. Step 3: Cross multiply
    379,109x = 570,203 × 570,203
  4. Step 4: Simplify right side
    379,109x = 325,131,461,209
  5. Step 5: Solve for x
    x = 325,131,461,209/379,109
  6. Step 6: Final answer
    x = 857,620.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.