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Finding the Third Proportional to 404,932.50 and 859,693.50

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Solution

The third proportional to 404,932.50 and 859,693.50 is: 1,825,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,932.50 : 859,693.50 = 859,693.50 : x
  2. Step 2: Convert to fraction form
    404,932.50/859,693.50 = 859,693.50/x
  3. Step 3: Cross multiply
    404,932.50x = 859,693.50 × 859,693.50
  4. Step 4: Simplify right side
    404,932.50x = 739,072,913,942.25
  5. Step 5: Solve for x
    x = 739,072,913,942.25/404,932.50
  6. Step 6: Final answer
    x = 1,825,175.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.