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Finding the Third Proportional to 237,005 and 507,225

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Solution

The third proportional to 237,005 and 507,225 is: 1,085,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,005 : 507,225 = 507,225 : x
  2. Step 2: Convert to fraction form
    237,005/507,225 = 507,225/x
  3. Step 3: Cross multiply
    237,005x = 507,225 × 507,225
  4. Step 4: Simplify right side
    237,005x = 257,277,200,625
  5. Step 5: Solve for x
    x = 257,277,200,625/237,005
  6. Step 6: Final answer
    x = 1,085,534.91

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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.