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Finding the Third Proportional to 323,559.56 and 506,457.56

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Solution

The third proportional to 323,559.56 and 506,457.56 is: 792,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,559.56 : 506,457.56 = 506,457.56 : x
  2. Step 2: Convert to fraction form
    323,559.56/506,457.56 = 506,457.56/x
  3. Step 3: Cross multiply
    323,559.56x = 506,457.56 × 506,457.56
  4. Step 4: Simplify right side
    323,559.56x = 256,499,262,613.44
  5. Step 5: Solve for x
    x = 256,499,262,613.44/323,559.56
  6. Step 6: Final answer
    x = 792,742.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.