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Finding the Third Proportional to 341,462.25 and 737,636.63

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Solution

The third proportional to 341,462.25 and 737,636.63 is: 1,593,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,462.25 : 737,636.63 = 737,636.63 : x
  2. Step 2: Convert to fraction form
    341,462.25/737,636.63 = 737,636.63/x
  3. Step 3: Cross multiply
    341,462.25x = 737,636.63 × 737,636.63
  4. Step 4: Simplify right side
    341,462.25x = 544,107,790,541.39
  5. Step 5: Solve for x
    x = 544,107,790,541.39/341,462.25
  6. Step 6: Final answer
    x = 1,593,463.96

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