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Finding the Third Proportional to 374,175 and 770,409

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Solution

The third proportional to 374,175 and 770,409 is: 1,586,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,175 : 770,409 = 770,409 : x
  2. Step 2: Convert to fraction form
    374,175/770,409 = 770,409/x
  3. Step 3: Cross multiply
    374,175x = 770,409 × 770,409
  4. Step 4: Simplify right side
    374,175x = 593,530,027,281
  5. Step 5: Solve for x
    x = 593,530,027,281/374,175
  6. Step 6: Final answer
    x = 1,586,236.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.