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Finding the Third Proportional to 496,530 and 744,633

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Solution

The third proportional to 496,530 and 744,633 is: 1,116,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,530 : 744,633 = 744,633 : x
  2. Step 2: Convert to fraction form
    496,530/744,633 = 744,633/x
  3. Step 3: Cross multiply
    496,530x = 744,633 × 744,633
  4. Step 4: Simplify right side
    496,530x = 554,478,304,689
  5. Step 5: Solve for x
    x = 554,478,304,689/496,530
  6. Step 6: Final answer
    x = 1,116,706.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.