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Finding the Third Proportional to 302,899 and 475,201

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Solution

The third proportional to 302,899 and 475,201 is: 745,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,899 : 475,201 = 475,201 : x
  2. Step 2: Convert to fraction form
    302,899/475,201 = 475,201/x
  3. Step 3: Cross multiply
    302,899x = 475,201 × 475,201
  4. Step 4: Simplify right side
    302,899x = 225,815,990,401
  5. Step 5: Solve for x
    x = 225,815,990,401/302,899
  6. Step 6: Final answer
    x = 745,515.80

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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.