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Finding the Third Proportional to 302,912 and 470,351

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Solution

The third proportional to 302,912 and 470,351 is: 730,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,912 : 470,351 = 470,351 : x
  2. Step 2: Convert to fraction form
    302,912/470,351 = 470,351/x
  3. Step 3: Cross multiply
    302,912x = 470,351 × 470,351
  4. Step 4: Simplify right side
    302,912x = 221,230,063,201
  5. Step 5: Solve for x
    x = 221,230,063,201/302,912
  6. Step 6: Final answer
    x = 730,344.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.