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Finding the Third Proportional to 459,079.50 and 701,771.25

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Solution

The third proportional to 459,079.50 and 701,771.25 is: 1,072,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,079.50 : 701,771.25 = 701,771.25 : x
  2. Step 2: Convert to fraction form
    459,079.50/701,771.25 = 701,771.25/x
  3. Step 3: Cross multiply
    459,079.50x = 701,771.25 × 701,771.25
  4. Step 4: Simplify right side
    459,079.50x = 492,482,887,326.56
  5. Step 5: Solve for x
    x = 492,482,887,326.56/459,079.50
  6. Step 6: Final answer
    x = 1,072,761.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.