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Finding the Third Proportional to 764,529 and 1,214,595.50

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Solution

The third proportional to 764,529 and 1,214,595.50 is: 1,929,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,529 : 1,214,595.50 = 1,214,595.50 : x
  2. Step 2: Convert to fraction form
    764,529/1,214,595.50 = 1,214,595.50/x
  3. Step 3: Cross multiply
    764,529x = 1,214,595.50 × 1,214,595.50
  4. Step 4: Simplify right side
    764,529x = 1,475,242,228,620.25
  5. Step 5: Solve for x
    x = 1,475,242,228,620.25/764,529
  6. Step 6: Final answer
    x = 1,929,609.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.