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Finding the Third Proportional to 580,315.75 and 1,365,458.38

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Solution

The third proportional to 580,315.75 and 1,365,458.38 is: 3,212,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,315.75 : 1,365,458.38 = 1,365,458.38 : x
  2. Step 2: Convert to fraction form
    580,315.75/1,365,458.38 = 1,365,458.38/x
  3. Step 3: Cross multiply
    580,315.75x = 1,365,458.38 × 1,365,458.38
  4. Step 4: Simplify right side
    580,315.75x = 1,864,476,573,857.64
  5. Step 5: Solve for x
    x = 1,864,476,573,857.64/580,315.75
  6. Step 6: Final answer
    x = 3,212,865.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.