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Finding the Third Proportional to 407,949.75 and 573,468.75

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Solution

The third proportional to 407,949.75 and 573,468.75 is: 806,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,949.75 : 573,468.75 = 573,468.75 : x
  2. Step 2: Convert to fraction form
    407,949.75/573,468.75 = 573,468.75/x
  3. Step 3: Cross multiply
    407,949.75x = 573,468.75 × 573,468.75
  4. Step 4: Simplify right side
    407,949.75x = 328,866,407,226.56
  5. Step 5: Solve for x
    x = 328,866,407,226.56/407,949.75
  6. Step 6: Final answer
    x = 806,144.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.