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Finding the Third Proportional to 375,064 and 764,052

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Solution

The third proportional to 375,064 and 764,052 is: 1,556,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,064 : 764,052 = 764,052 : x
  2. Step 2: Convert to fraction form
    375,064/764,052 = 764,052/x
  3. Step 3: Cross multiply
    375,064x = 764,052 × 764,052
  4. Step 4: Simplify right side
    375,064x = 583,775,458,704
  5. Step 5: Solve for x
    x = 583,775,458,704/375,064
  6. Step 6: Final answer
    x = 1,556,468.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.