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Finding the Third Proportional to 277,984 and 606,952

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Solution

The third proportional to 277,984 and 606,952 is: 1,325,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,984 : 606,952 = 606,952 : x
  2. Step 2: Convert to fraction form
    277,984/606,952 = 606,952/x
  3. Step 3: Cross multiply
    277,984x = 606,952 × 606,952
  4. Step 4: Simplify right side
    277,984x = 368,390,730,304
  5. Step 5: Solve for x
    x = 368,390,730,304/277,984
  6. Step 6: Final answer
    x = 1,325,222.78

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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.