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Finding the Third Proportional to 415,504.25 and 893,071.25

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Solution

The third proportional to 415,504.25 and 893,071.25 is: 1,919,538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,504.25 : 893,071.25 = 893,071.25 : x
  2. Step 2: Convert to fraction form
    415,504.25/893,071.25 = 893,071.25/x
  3. Step 3: Cross multiply
    415,504.25x = 893,071.25 × 893,071.25
  4. Step 4: Simplify right side
    415,504.25x = 797,576,257,576.56
  5. Step 5: Solve for x
    x = 797,576,257,576.56/415,504.25
  6. Step 6: Final answer
    x = 1,919,538.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.