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Finding the Third Proportional to 354,000 and 764,352

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Solution

The third proportional to 354,000 and 764,352 is: 1,650,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,000 : 764,352 = 764,352 : x
  2. Step 2: Convert to fraction form
    354,000/764,352 = 764,352/x
  3. Step 3: Cross multiply
    354,000x = 764,352 × 764,352
  4. Step 4: Simplify right side
    354,000x = 584,233,979,904
  5. Step 5: Solve for x
    x = 584,233,979,904/354,000
  6. Step 6: Final answer
    x = 1,650,378.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.