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Finding the Third Proportional to 304,828.31 and 705,891.94

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Solution

The third proportional to 304,828.31 and 705,891.94 is: 1,634,636.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,828.31 : 705,891.94 = 705,891.94 : x
  2. Step 2: Convert to fraction form
    304,828.31/705,891.94 = 705,891.94/x
  3. Step 3: Cross multiply
    304,828.31x = 705,891.94 × 705,891.94
  4. Step 4: Simplify right side
    304,828.31x = 498,283,427,427.50
  5. Step 5: Solve for x
    x = 498,283,427,427.50/304,828.31
  6. Step 6: Final answer
    x = 1,634,636.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.