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Finding the Third Proportional to 375,066 and 764,056

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Solution

The third proportional to 375,066 and 764,056 is: 1,556,476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,066 : 764,056 = 764,056 : x
  2. Step 2: Convert to fraction form
    375,066/764,056 = 764,056/x
  3. Step 3: Cross multiply
    375,066x = 764,056 × 764,056
  4. Step 4: Simplify right side
    375,066x = 583,781,571,136
  5. Step 5: Solve for x
    x = 583,781,571,136/375,066
  6. Step 6: Final answer
    x = 1,556,476.92

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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.