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Finding the Third Proportional to 505,320.50 and 1,094,735

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Solution

The third proportional to 505,320.50 and 1,094,735 is: 2,371,652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,320.50 : 1,094,735 = 1,094,735 : x
  2. Step 2: Convert to fraction form
    505,320.50/1,094,735 = 1,094,735/x
  3. Step 3: Cross multiply
    505,320.50x = 1,094,735 × 1,094,735
  4. Step 4: Simplify right side
    505,320.50x = 1,198,444,720,225
  5. Step 5: Solve for x
    x = 1,198,444,720,225/505,320.50
  6. Step 6: Final answer
    x = 2,371,652.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.