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Finding the Third Proportional to 304,852 and 701,144

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Solution

The third proportional to 304,852 and 701,144 is: 1,612,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,852 : 701,144 = 701,144 : x
  2. Step 2: Convert to fraction form
    304,852/701,144 = 701,144/x
  3. Step 3: Cross multiply
    304,852x = 701,144 × 701,144
  4. Step 4: Simplify right side
    304,852x = 491,602,908,736
  5. Step 5: Solve for x
    x = 491,602,908,736/304,852
  6. Step 6: Final answer
    x = 1,612,595.32

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.