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Finding the Third Proportional to 459,081 and 701,773.50

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Solution

The third proportional to 459,081 and 701,773.50 is: 1,072,765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,081 : 701,773.50 = 701,773.50 : x
  2. Step 2: Convert to fraction form
    459,081/701,773.50 = 701,773.50/x
  3. Step 3: Cross multiply
    459,081x = 701,773.50 × 701,773.50
  4. Step 4: Simplify right side
    459,081x = 492,486,045,302.25
  5. Step 5: Solve for x
    x = 492,486,045,302.25/459,081
  6. Step 6: Final answer
    x = 1,072,765.04

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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.