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Finding the Third Proportional to 302,427 and 470,383.50

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Solution

The third proportional to 302,427 and 470,383.50 is: 731,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,427 : 470,383.50 = 470,383.50 : x
  2. Step 2: Convert to fraction form
    302,427/470,383.50 = 470,383.50/x
  3. Step 3: Cross multiply
    302,427x = 470,383.50 × 470,383.50
  4. Step 4: Simplify right side
    302,427x = 221,260,637,072.25
  5. Step 5: Solve for x
    x = 221,260,637,072.25/302,427
  6. Step 6: Final answer
    x = 731,616.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.