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Finding the Third Proportional to 273,323 and 600,457

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Solution

The third proportional to 273,323 and 600,457 is: 1,319,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,323 : 600,457 = 600,457 : x
  2. Step 2: Convert to fraction form
    273,323/600,457 = 600,457/x
  3. Step 3: Cross multiply
    273,323x = 600,457 × 600,457
  4. Step 4: Simplify right side
    273,323x = 360,548,608,849
  5. Step 5: Solve for x
    x = 360,548,608,849/273,323
  6. Step 6: Final answer
    x = 1,319,130.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.