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Finding the Third Proportional to 239,192 and 507,538

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Solution

The third proportional to 239,192 and 507,538 is: 1,076,937.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,192 : 507,538 = 507,538 : x
  2. Step 2: Convert to fraction form
    239,192/507,538 = 507,538/x
  3. Step 3: Cross multiply
    239,192x = 507,538 × 507,538
  4. Step 4: Simplify right side
    239,192x = 257,594,821,444
  5. Step 5: Solve for x
    x = 257,594,821,444/239,192
  6. Step 6: Final answer
    x = 1,076,937.45

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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.