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Finding the Third Proportional to 493,485.75 and 743,877

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Solution

The third proportional to 493,485.75 and 743,877 is: 1,121,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,485.75 : 743,877 = 743,877 : x
  2. Step 2: Convert to fraction form
    493,485.75/743,877 = 743,877/x
  3. Step 3: Cross multiply
    493,485.75x = 743,877 × 743,877
  4. Step 4: Simplify right side
    493,485.75x = 553,352,991,129
  5. Step 5: Solve for x
    x = 553,352,991,129/493,485.75
  6. Step 6: Final answer
    x = 1,121,315.04

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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.