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Finding the Third Proportional to 331,090.88 and 714,639.38

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Solution

The third proportional to 331,090.88 and 714,639.38 is: 1,542,505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,090.88 : 714,639.38 = 714,639.38 : x
  2. Step 2: Convert to fraction form
    331,090.88/714,639.38 = 714,639.38/x
  3. Step 3: Cross multiply
    331,090.88x = 714,639.38 × 714,639.38
  4. Step 4: Simplify right side
    331,090.88x = 510,709,436,300.39
  5. Step 5: Solve for x
    x = 510,709,436,300.39/331,090.88
  6. Step 6: Final answer
    x = 1,542,505.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.