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Finding the Third Proportional to 277,706 and 597,604

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Solution

The third proportional to 277,706 and 597,604 is: 1,286,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,706 : 597,604 = 597,604 : x
  2. Step 2: Convert to fraction form
    277,706/597,604 = 597,604/x
  3. Step 3: Cross multiply
    277,706x = 597,604 × 597,604
  4. Step 4: Simplify right side
    277,706x = 357,130,540,816
  5. Step 5: Solve for x
    x = 357,130,540,816/277,706
  6. Step 6: Final answer
    x = 1,286,002.25

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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.