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Finding the Third Proportional to 353,982 and 764,313

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Solution

The third proportional to 353,982 and 764,313 is: 1,650,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,982 : 764,313 = 764,313 : x
  2. Step 2: Convert to fraction form
    353,982/764,313 = 764,313/x
  3. Step 3: Cross multiply
    353,982x = 764,313 × 764,313
  4. Step 4: Simplify right side
    353,982x = 584,174,361,969
  5. Step 5: Solve for x
    x = 584,174,361,969/353,982
  6. Step 6: Final answer
    x = 1,650,293.98

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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.