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Finding the Third Proportional to 459,274.50 and 992,481.75

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Solution

The third proportional to 459,274.50 and 992,481.75 is: 2,144,730.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,274.50 : 992,481.75 = 992,481.75 : x
  2. Step 2: Convert to fraction form
    459,274.50/992,481.75 = 992,481.75/x
  3. Step 3: Cross multiply
    459,274.50x = 992,481.75 × 992,481.75
  4. Step 4: Simplify right side
    459,274.50x = 985,020,024,083.06
  5. Step 5: Solve for x
    x = 985,020,024,083.06/459,274.50
  6. Step 6: Final answer
    x = 2,144,730.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.