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Finding the Third Proportional to 350,262 and 499,149

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Solution

The third proportional to 350,262 and 499,149 is: 711,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,262 : 499,149 = 499,149 : x
  2. Step 2: Convert to fraction form
    350,262/499,149 = 499,149/x
  3. Step 3: Cross multiply
    350,262x = 499,149 × 499,149
  4. Step 4: Simplify right side
    350,262x = 249,149,724,201
  5. Step 5: Solve for x
    x = 249,149,724,201/350,262
  6. Step 6: Final answer
    x = 711,323.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.