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Finding the Third Proportional to 280,596 and 600,666

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Solution

The third proportional to 280,596 and 600,666 is: 1,285,833.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,596 : 600,666 = 600,666 : x
  2. Step 2: Convert to fraction form
    280,596/600,666 = 600,666/x
  3. Step 3: Cross multiply
    280,596x = 600,666 × 600,666
  4. Step 4: Simplify right side
    280,596x = 360,799,643,556
  5. Step 5: Solve for x
    x = 360,799,643,556/280,596
  6. Step 6: Final answer
    x = 1,285,833.17

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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.