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Finding the Third Proportional to 493,800.75 and 740,457

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Solution

The third proportional to 493,800.75 and 740,457 is: 1,110,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,800.75 : 740,457 = 740,457 : x
  2. Step 2: Convert to fraction form
    493,800.75/740,457 = 740,457/x
  3. Step 3: Cross multiply
    493,800.75x = 740,457 × 740,457
  4. Step 4: Simplify right side
    493,800.75x = 548,276,568,849
  5. Step 5: Solve for x
    x = 548,276,568,849/493,800.75
  6. Step 6: Final answer
    x = 1,110,319.43

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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.