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Finding the Third Proportional to 764,100 and 829,629

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Solution

The third proportional to 764,100 and 829,629 is: 900,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,100 : 829,629 = 829,629 : x
  2. Step 2: Convert to fraction form
    764,100/829,629 = 829,629/x
  3. Step 3: Cross multiply
    764,100x = 829,629 × 829,629
  4. Step 4: Simplify right side
    764,100x = 688,284,277,641
  5. Step 5: Solve for x
    x = 688,284,277,641/764,100
  6. Step 6: Final answer
    x = 900,777.75

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.