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Finding the Third Proportional to 239,174 and 507,502

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Solution

The third proportional to 239,174 and 507,502 is: 1,076,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,174 : 507,502 = 507,502 : x
  2. Step 2: Convert to fraction form
    239,174/507,502 = 507,502/x
  3. Step 3: Cross multiply
    239,174x = 507,502 × 507,502
  4. Step 4: Simplify right side
    239,174x = 257,558,280,004
  5. Step 5: Solve for x
    x = 257,558,280,004/239,174
  6. Step 6: Final answer
    x = 1,076,865.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.