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Finding the Third Proportional to 366,873.75 and 803,225.25

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Solution

The third proportional to 366,873.75 and 803,225.25 is: 1,758,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,873.75 : 803,225.25 = 803,225.25 : x
  2. Step 2: Convert to fraction form
    366,873.75/803,225.25 = 803,225.25/x
  3. Step 3: Cross multiply
    366,873.75x = 803,225.25 × 803,225.25
  4. Step 4: Simplify right side
    366,873.75x = 645,170,802,237.56
  5. Step 5: Solve for x
    x = 645,170,802,237.56/366,873.75
  6. Step 6: Final answer
    x = 1,758,563.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.