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Finding the Third Proportional to 353,988 and 764,324

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Solution

The third proportional to 353,988 and 764,324 is: 1,650,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,988 : 764,324 = 764,324 : x
  2. Step 2: Convert to fraction form
    353,988/764,324 = 764,324/x
  3. Step 3: Cross multiply
    353,988x = 764,324 × 764,324
  4. Step 4: Simplify right side
    353,988x = 584,191,176,976
  5. Step 5: Solve for x
    x = 584,191,176,976/353,988
  6. Step 6: Final answer
    x = 1,650,313.50

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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.