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Finding the Third Proportional to 273,317 and 600,445

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Solution

The third proportional to 273,317 and 600,445 is: 1,319,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,317 : 600,445 = 600,445 : x
  2. Step 2: Convert to fraction form
    273,317/600,445 = 600,445/x
  3. Step 3: Cross multiply
    273,317x = 600,445 × 600,445
  4. Step 4: Simplify right side
    273,317x = 360,534,198,025
  5. Step 5: Solve for x
    x = 360,534,198,025/273,317
  6. Step 6: Final answer
    x = 1,319,106.38

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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.