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Finding the Third Proportional to 314,469 and 470,613

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Solution

The third proportional to 314,469 and 470,613 is: 704,287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,469 : 470,613 = 470,613 : x
  2. Step 2: Convert to fraction form
    314,469/470,613 = 470,613/x
  3. Step 3: Cross multiply
    314,469x = 470,613 × 470,613
  4. Step 4: Simplify right side
    314,469x = 221,476,595,769
  5. Step 5: Solve for x
    x = 221,476,595,769/314,469
  6. Step 6: Final answer
    x = 704,287.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.