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Finding the Third Proportional to 239,776 and 504,224

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Solution

The third proportional to 239,776 and 504,224 is: 1,060,330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,776 : 504,224 = 504,224 : x
  2. Step 2: Convert to fraction form
    239,776/504,224 = 504,224/x
  3. Step 3: Cross multiply
    239,776x = 504,224 × 504,224
  4. Step 4: Simplify right side
    239,776x = 254,241,842,176
  5. Step 5: Solve for x
    x = 254,241,842,176/239,776
  6. Step 6: Final answer
    x = 1,060,330.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.