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Finding the Third Proportional to 280,396 and 600,158

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Solution

The third proportional to 280,396 and 600,158 is: 1,284,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,396 : 600,158 = 600,158 : x
  2. Step 2: Convert to fraction form
    280,396/600,158 = 600,158/x
  3. Step 3: Cross multiply
    280,396x = 600,158 × 600,158
  4. Step 4: Simplify right side
    280,396x = 360,189,624,964
  5. Step 5: Solve for x
    x = 360,189,624,964/280,396
  6. Step 6: Final answer
    x = 1,284,574.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.