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Finding the Third Proportional to 236,811 and 507,210

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Solution

The third proportional to 236,811 and 507,210 is: 1,086,359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,811 : 507,210 = 507,210 : x
  2. Step 2: Convert to fraction form
    236,811/507,210 = 507,210/x
  3. Step 3: Cross multiply
    236,811x = 507,210 × 507,210
  4. Step 4: Simplify right side
    236,811x = 257,261,984,100
  5. Step 5: Solve for x
    x = 257,261,984,100/236,811
  6. Step 6: Final answer
    x = 1,086,359.94

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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.