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Finding the Third Proportional to 576,169 and 764,562

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Solution

The third proportional to 576,169 and 764,562 is: 1,014,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,169 : 764,562 = 764,562 : x
  2. Step 2: Convert to fraction form
    576,169/764,562 = 764,562/x
  3. Step 3: Cross multiply
    576,169x = 764,562 × 764,562
  4. Step 4: Simplify right side
    576,169x = 584,555,051,844
  5. Step 5: Solve for x
    x = 584,555,051,844/576,169
  6. Step 6: Final answer
    x = 1,014,554.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.