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Finding the Third Proportional to 459,082 and 701,774

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Solution

The third proportional to 459,082 and 701,774 is: 1,072,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,082 : 701,774 = 701,774 : x
  2. Step 2: Convert to fraction form
    459,082/701,774 = 701,774/x
  3. Step 3: Cross multiply
    459,082x = 701,774 × 701,774
  4. Step 4: Simplify right side
    459,082x = 492,486,747,076
  5. Step 5: Solve for x
    x = 492,486,747,076/459,082
  6. Step 6: Final answer
    x = 1,072,764.23

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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.