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Finding the Third Proportional to 277,904 and 565,628

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Solution

The third proportional to 277,904 and 565,628 is: 1,151,243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,904 : 565,628 = 565,628 : x
  2. Step 2: Convert to fraction form
    277,904/565,628 = 565,628/x
  3. Step 3: Cross multiply
    277,904x = 565,628 × 565,628
  4. Step 4: Simplify right side
    277,904x = 319,935,034,384
  5. Step 5: Solve for x
    x = 319,935,034,384/277,904
  6. Step 6: Final answer
    x = 1,151,243.00

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.