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Finding the Third Proportional to 277,168 and 602,928

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Solution

The third proportional to 277,168 and 602,928 is: 1,311,558.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,168 : 602,928 = 602,928 : x
  2. Step 2: Convert to fraction form
    277,168/602,928 = 602,928/x
  3. Step 3: Cross multiply
    277,168x = 602,928 × 602,928
  4. Step 4: Simplify right side
    277,168x = 363,522,173,184
  5. Step 5: Solve for x
    x = 363,522,173,184/277,168
  6. Step 6: Final answer
    x = 1,311,558.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.