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Finding the Third Proportional to 291,224 and 596,560

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Solution

The third proportional to 291,224 and 596,560 is: 1,222,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,224 : 596,560 = 596,560 : x
  2. Step 2: Convert to fraction form
    291,224/596,560 = 596,560/x
  3. Step 3: Cross multiply
    291,224x = 596,560 × 596,560
  4. Step 4: Simplify right side
    291,224x = 355,883,833,600
  5. Step 5: Solve for x
    x = 355,883,833,600/291,224
  6. Step 6: Final answer
    x = 1,222,027.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.