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Finding the Third Proportional to 304,536 and 701,886

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Solution

The third proportional to 304,536 and 701,886 is: 1,617,687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,536 : 701,886 = 701,886 : x
  2. Step 2: Convert to fraction form
    304,536/701,886 = 701,886/x
  3. Step 3: Cross multiply
    304,536x = 701,886 × 701,886
  4. Step 4: Simplify right side
    304,536x = 492,643,956,996
  5. Step 5: Solve for x
    x = 492,643,956,996/304,536
  6. Step 6: Final answer
    x = 1,617,687.09

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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.