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Finding the Third Proportional to 379,111.50 and 570,206.25

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Solution

The third proportional to 379,111.50 and 570,206.25 is: 857,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,111.50 : 570,206.25 = 570,206.25 : x
  2. Step 2: Convert to fraction form
    379,111.50/570,206.25 = 570,206.25/x
  3. Step 3: Cross multiply
    379,111.50x = 570,206.25 × 570,206.25
  4. Step 4: Simplify right side
    379,111.50x = 325,135,167,539.06
  5. Step 5: Solve for x
    x = 325,135,167,539.06/379,111.50
  6. Step 6: Final answer
    x = 857,624.12

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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.