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Finding the Third Proportional to 277,283 and 414,076

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Solution

The third proportional to 277,283 and 414,076 is: 618,353.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,283 : 414,076 = 414,076 : x
  2. Step 2: Convert to fraction form
    277,283/414,076 = 414,076/x
  3. Step 3: Cross multiply
    277,283x = 414,076 × 414,076
  4. Step 4: Simplify right side
    277,283x = 171,458,933,776
  5. Step 5: Solve for x
    x = 171,458,933,776/277,283
  6. Step 6: Final answer
    x = 618,353.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.