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Finding the Third Proportional to 216,613 and 483,033

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Solution

The third proportional to 216,613 and 483,033 is: 1,077,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,613 : 483,033 = 483,033 : x
  2. Step 2: Convert to fraction form
    216,613/483,033 = 483,033/x
  3. Step 3: Cross multiply
    216,613x = 483,033 × 483,033
  4. Step 4: Simplify right side
    216,613x = 233,320,879,089
  5. Step 5: Solve for x
    x = 233,320,879,089/216,613
  6. Step 6: Final answer
    x = 1,077,132.39

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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.