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Finding the Third Proportional to 307,176 and 480,829

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Solution

The third proportional to 307,176 and 480,829 is: 752,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,176 : 480,829 = 480,829 : x
  2. Step 2: Convert to fraction form
    307,176/480,829 = 480,829/x
  3. Step 3: Cross multiply
    307,176x = 480,829 × 480,829
  4. Step 4: Simplify right side
    307,176x = 231,196,527,241
  5. Step 5: Solve for x
    x = 231,196,527,241/307,176
  6. Step 6: Final answer
    x = 752,651.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.