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Finding the Third Proportional to 212,032.69 and 461,462.06

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Solution

The third proportional to 212,032.69 and 461,462.06 is: 1,004,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,032.69 : 461,462.06 = 461,462.06 : x
  2. Step 2: Convert to fraction form
    212,032.69/461,462.06 = 461,462.06/x
  3. Step 3: Cross multiply
    212,032.69x = 461,462.06 × 461,462.06
  4. Step 4: Simplify right side
    212,032.69x = 212,947,235,126.75
  5. Step 5: Solve for x
    x = 212,947,235,126.75/212,032.69
  6. Step 6: Final answer
    x = 1,004,313.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.