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Finding the Third Proportional to 494,727 and 758,085

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Solution

The third proportional to 494,727 and 758,085 is: 1,161,636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,727 : 758,085 = 758,085 : x
  2. Step 2: Convert to fraction form
    494,727/758,085 = 758,085/x
  3. Step 3: Cross multiply
    494,727x = 758,085 × 758,085
  4. Step 4: Simplify right side
    494,727x = 574,692,867,225
  5. Step 5: Solve for x
    x = 574,692,867,225/494,727
  6. Step 6: Final answer
    x = 1,161,636.35

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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.