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Finding the Third Proportional to 576,176 and 764,564

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Solution

The third proportional to 576,176 and 764,564 is: 1,014,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,176 : 764,564 = 764,564 : x
  2. Step 2: Convert to fraction form
    576,176/764,564 = 764,564/x
  3. Step 3: Cross multiply
    576,176x = 764,564 × 764,564
  4. Step 4: Simplify right side
    576,176x = 584,558,110,096
  5. Step 5: Solve for x
    x = 584,558,110,096/576,176
  6. Step 6: Final answer
    x = 1,014,547.83

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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.