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Finding the Third Proportional to 354,985 and 764,102

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Solution

The third proportional to 354,985 and 764,102 is: 1,644,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,985 : 764,102 = 764,102 : x
  2. Step 2: Convert to fraction form
    354,985/764,102 = 764,102/x
  3. Step 3: Cross multiply
    354,985x = 764,102 × 764,102
  4. Step 4: Simplify right side
    354,985x = 583,851,866,404
  5. Step 5: Solve for x
    x = 583,851,866,404/354,985
  6. Step 6: Final answer
    x = 1,644,722.64

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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.