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Finding the Third Proportional to 269,084 and 608,072

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Solution

The third proportional to 269,084 and 608,072 is: 1,374,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,084 : 608,072 = 608,072 : x
  2. Step 2: Convert to fraction form
    269,084/608,072 = 608,072/x
  3. Step 3: Cross multiply
    269,084x = 608,072 × 608,072
  4. Step 4: Simplify right side
    269,084x = 369,751,557,184
  5. Step 5: Solve for x
    x = 369,751,557,184/269,084
  6. Step 6: Final answer
    x = 1,374,112.01

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.