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Finding the Third Proportional to 323,538.19 and 500,449.22

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Solution

The third proportional to 323,538.19 and 500,449.22 is: 774,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,538.19 : 500,449.22 = 500,449.22 : x
  2. Step 2: Convert to fraction form
    323,538.19/500,449.22 = 500,449.22/x
  3. Step 3: Cross multiply
    323,538.19x = 500,449.22 × 500,449.22
  4. Step 4: Simplify right side
    323,538.19x = 250,449,420,547.49
  5. Step 5: Solve for x
    x = 250,449,420,547.49/323,538.19
  6. Step 6: Final answer
    x = 774,095.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.