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Finding the Third Proportional to 341,523.84 and 493,398.84

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Solution

The third proportional to 341,523.84 and 493,398.84 is: 712,812.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,523.84 : 493,398.84 = 493,398.84 : x
  2. Step 2: Convert to fraction form
    341,523.84/493,398.84 = 493,398.84/x
  3. Step 3: Cross multiply
    341,523.84x = 493,398.84 × 493,398.84
  4. Step 4: Simplify right side
    341,523.84x = 243,442,419,013.84
  5. Step 5: Solve for x
    x = 243,442,419,013.84/341,523.84
  6. Step 6: Final answer
    x = 712,812.37

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.