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Finding the Third Proportional to 230,936 and 507,230

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Solution

The third proportional to 230,936 and 507,230 is: 1,114,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,936 : 507,230 = 507,230 : x
  2. Step 2: Convert to fraction form
    230,936/507,230 = 507,230/x
  3. Step 3: Cross multiply
    230,936x = 507,230 × 507,230
  4. Step 4: Simplify right side
    230,936x = 257,282,272,900
  5. Step 5: Solve for x
    x = 257,282,272,900/230,936
  6. Step 6: Final answer
    x = 1,114,084.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.