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Finding the Third Proportional to 277,040 and 606,628

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Solution

The third proportional to 277,040 and 606,628 is: 1,328,319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,040 : 606,628 = 606,628 : x
  2. Step 2: Convert to fraction form
    277,040/606,628 = 606,628/x
  3. Step 3: Cross multiply
    277,040x = 606,628 × 606,628
  4. Step 4: Simplify right side
    277,040x = 367,997,530,384
  5. Step 5: Solve for x
    x = 367,997,530,384/277,040
  6. Step 6: Final answer
    x = 1,328,319.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.