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Finding the Third Proportional to 323,132.63 and 493,446.94

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Solution

The third proportional to 323,132.63 and 493,446.94 is: 753,529.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,132.63 : 493,446.94 = 493,446.94 : x
  2. Step 2: Convert to fraction form
    323,132.63/493,446.94 = 493,446.94/x
  3. Step 3: Cross multiply
    323,132.63x = 493,446.94 × 493,446.94
  4. Step 4: Simplify right side
    323,132.63x = 243,489,880,128.13
  5. Step 5: Solve for x
    x = 243,489,880,128.13/323,132.63
  6. Step 6: Final answer
    x = 753,529.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.