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Finding the Third Proportional to 277,602 and 602,771

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Solution

The third proportional to 277,602 and 602,771 is: 1,308,826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,602 : 602,771 = 602,771 : x
  2. Step 2: Convert to fraction form
    277,602/602,771 = 602,771/x
  3. Step 3: Cross multiply
    277,602x = 602,771 × 602,771
  4. Step 4: Simplify right side
    277,602x = 363,332,878,441
  5. Step 5: Solve for x
    x = 363,332,878,441/277,602
  6. Step 6: Final answer
    x = 1,308,826.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.