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Finding the Third Proportional to 216,609.47 and 483,024.38

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Solution

The third proportional to 216,609.47 and 483,024.38 is: 1,077,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,609.47 : 483,024.38 = 483,024.38 : x
  2. Step 2: Convert to fraction form
    216,609.47/483,024.38 = 483,024.38/x
  3. Step 3: Cross multiply
    216,609.47x = 483,024.38 × 483,024.38
  4. Step 4: Simplify right side
    216,609.47x = 233,312,546,844.14
  5. Step 5: Solve for x
    x = 233,312,546,844.14/216,609.47
  6. Step 6: Final answer
    x = 1,077,111.49

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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.