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Finding the Third Proportional to 302,173 and 470,026

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Solution

The third proportional to 302,173 and 470,026 is: 731,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,173 : 470,026 = 470,026 : x
  2. Step 2: Convert to fraction form
    302,173/470,026 = 470,026/x
  3. Step 3: Cross multiply
    302,173x = 470,026 × 470,026
  4. Step 4: Simplify right side
    302,173x = 220,924,440,676
  5. Step 5: Solve for x
    x = 220,924,440,676/302,173
  6. Step 6: Final answer
    x = 731,119.06

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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.