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Finding the Third Proportional to 439,366 and 703,271

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Solution

The third proportional to 439,366 and 703,271 is: 1,125,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,366 : 703,271 = 703,271 : x
  2. Step 2: Convert to fraction form
    439,366/703,271 = 703,271/x
  3. Step 3: Cross multiply
    439,366x = 703,271 × 703,271
  4. Step 4: Simplify right side
    439,366x = 494,590,099,441
  5. Step 5: Solve for x
    x = 494,590,099,441/439,366
  6. Step 6: Final answer
    x = 1,125,690.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.