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Finding the Third Proportional to 350,066 and 524,991

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Solution

The third proportional to 350,066 and 524,991 is: 787,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,066 : 524,991 = 524,991 : x
  2. Step 2: Convert to fraction form
    350,066/524,991 = 524,991/x
  3. Step 3: Cross multiply
    350,066x = 524,991 × 524,991
  4. Step 4: Simplify right side
    350,066x = 275,615,550,081
  5. Step 5: Solve for x
    x = 275,615,550,081/350,066
  6. Step 6: Final answer
    x = 787,324.53

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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.