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Finding the Third Proportional to 244,520.65 and 531,144.84

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Solution

The third proportional to 244,520.65 and 531,144.84 is: 1,153,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,520.65 : 531,144.84 = 531,144.84 : x
  2. Step 2: Convert to fraction form
    244,520.65/531,144.84 = 531,144.84/x
  3. Step 3: Cross multiply
    244,520.65x = 531,144.84 × 531,144.84
  4. Step 4: Simplify right side
    244,520.65x = 282,114,845,042.21
  5. Step 5: Solve for x
    x = 282,114,845,042.21/244,520.65
  6. Step 6: Final answer
    x = 1,153,746.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.