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Finding the Third Proportional to 277,392 and 410,904

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Solution

The third proportional to 277,392 and 410,904 is: 608,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,392 : 410,904 = 410,904 : x
  2. Step 2: Convert to fraction form
    277,392/410,904 = 410,904/x
  3. Step 3: Cross multiply
    277,392x = 410,904 × 410,904
  4. Step 4: Simplify right side
    277,392x = 168,842,097,216
  5. Step 5: Solve for x
    x = 168,842,097,216/277,392
  6. Step 6: Final answer
    x = 608,676.88

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.