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Finding the Third Proportional to 216,613 and 483,031

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Solution

The third proportional to 216,613 and 483,031 is: 1,077,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,613 : 483,031 = 483,031 : x
  2. Step 2: Convert to fraction form
    216,613/483,031 = 483,031/x
  3. Step 3: Cross multiply
    216,613x = 483,031 × 483,031
  4. Step 4: Simplify right side
    216,613x = 233,318,946,961
  5. Step 5: Solve for x
    x = 233,318,946,961/216,613
  6. Step 6: Final answer
    x = 1,077,123.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.