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Finding the Third Proportional to 277,164 and 597,072

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Solution

The third proportional to 277,164 and 597,072 is: 1,286,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,164 : 597,072 = 597,072 : x
  2. Step 2: Convert to fraction form
    277,164/597,072 = 597,072/x
  3. Step 3: Cross multiply
    277,164x = 597,072 × 597,072
  4. Step 4: Simplify right side
    277,164x = 356,494,973,184
  5. Step 5: Solve for x
    x = 356,494,973,184/277,164
  6. Step 6: Final answer
    x = 1,286,223.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.