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Finding the Third Proportional to 327,613 and 493,730

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Solution

The third proportional to 327,613 and 493,730 is: 744,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,613 : 493,730 = 493,730 : x
  2. Step 2: Convert to fraction form
    327,613/493,730 = 493,730/x
  3. Step 3: Cross multiply
    327,613x = 493,730 × 493,730
  4. Step 4: Simplify right side
    327,613x = 243,769,312,900
  5. Step 5: Solve for x
    x = 243,769,312,900/327,613
  6. Step 6: Final answer
    x = 744,077.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.