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Finding the Third Proportional to 274,734 and 570,514.50

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Solution

The third proportional to 274,734 and 570,514.50 is: 1,184,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,734 : 570,514.50 = 570,514.50 : x
  2. Step 2: Convert to fraction form
    274,734/570,514.50 = 570,514.50/x
  3. Step 3: Cross multiply
    274,734x = 570,514.50 × 570,514.50
  4. Step 4: Simplify right side
    274,734x = 325,486,794,710.25
  5. Step 5: Solve for x
    x = 325,486,794,710.25/274,734
  6. Step 6: Final answer
    x = 1,184,734.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.