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Finding the Third Proportional to 463,051.69 and 721,664.44

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Solution

The third proportional to 463,051.69 and 721,664.44 is: 1,124,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,051.69 : 721,664.44 = 721,664.44 : x
  2. Step 2: Convert to fraction form
    463,051.69/721,664.44 = 721,664.44/x
  3. Step 3: Cross multiply
    463,051.69x = 721,664.44 × 721,664.44
  4. Step 4: Simplify right side
    463,051.69x = 520,799,560,352.19
  5. Step 5: Solve for x
    x = 520,799,560,352.19/463,051.69
  6. Step 6: Final answer
    x = 1,124,711.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.