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Finding the Third Proportional to 302,871 and 475,179

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Solution

The third proportional to 302,871 and 475,179 is: 745,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,871 : 475,179 = 475,179 : x
  2. Step 2: Convert to fraction form
    302,871/475,179 = 475,179/x
  3. Step 3: Cross multiply
    302,871x = 475,179 × 475,179
  4. Step 4: Simplify right side
    302,871x = 225,795,082,041
  5. Step 5: Solve for x
    x = 225,795,082,041/302,871
  6. Step 6: Final answer
    x = 745,515.69

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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.