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Finding the Third Proportional to 493,548 and 743,970

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Solution

The third proportional to 493,548 and 743,970 is: 1,121,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,548 : 743,970 = 743,970 : x
  2. Step 2: Convert to fraction form
    493,548/743,970 = 743,970/x
  3. Step 3: Cross multiply
    493,548x = 743,970 × 743,970
  4. Step 4: Simplify right side
    493,548x = 553,491,360,900
  5. Step 5: Solve for x
    x = 553,491,360,900/493,548
  6. Step 6: Final answer
    x = 1,121,453.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.