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Finding the Third Proportional to 277,996 and 599,224

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Solution

The third proportional to 277,996 and 599,224 is: 1,291,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,996 : 599,224 = 599,224 : x
  2. Step 2: Convert to fraction form
    277,996/599,224 = 599,224/x
  3. Step 3: Cross multiply
    277,996x = 599,224 × 599,224
  4. Step 4: Simplify right side
    277,996x = 359,069,402,176
  5. Step 5: Solve for x
    x = 359,069,402,176/277,996
  6. Step 6: Final answer
    x = 1,291,635.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.