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Finding the Third Proportional to 190,530 and 407,292

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Solution

The third proportional to 190,530 and 407,292 is: 870,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,530 : 407,292 = 407,292 : x
  2. Step 2: Convert to fraction form
    190,530/407,292 = 407,292/x
  3. Step 3: Cross multiply
    190,530x = 407,292 × 407,292
  4. Step 4: Simplify right side
    190,530x = 165,886,773,264
  5. Step 5: Solve for x
    x = 165,886,773,264/190,530
  6. Step 6: Final answer
    x = 870,659.60

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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.