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Finding the Third Proportional to 216,239.63 and 464,447.25

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Solution

The third proportional to 216,239.63 and 464,447.25 is: 997,556.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,239.63 : 464,447.25 = 464,447.25 : x
  2. Step 2: Convert to fraction form
    216,239.63/464,447.25 = 464,447.25/x
  3. Step 3: Cross multiply
    216,239.63x = 464,447.25 × 464,447.25
  4. Step 4: Simplify right side
    216,239.63x = 215,711,248,032.56
  5. Step 5: Solve for x
    x = 215,711,248,032.56/216,239.63
  6. Step 6: Final answer
    x = 997,556.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.