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Finding the Third Proportional to 764,102 and 829,631

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Solution

The third proportional to 764,102 and 829,631 is: 900,779.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,102 : 829,631 = 829,631 : x
  2. Step 2: Convert to fraction form
    764,102/829,631 = 829,631/x
  3. Step 3: Cross multiply
    764,102x = 829,631 × 829,631
  4. Step 4: Simplify right side
    764,102x = 688,287,596,161
  5. Step 5: Solve for x
    x = 688,287,596,161/764,102
  6. Step 6: Final answer
    x = 900,779.73

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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.