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Finding the Third Proportional to 439,363 and 703,267

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Solution

The third proportional to 439,363 and 703,267 is: 1,125,685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,363 : 703,267 = 703,267 : x
  2. Step 2: Convert to fraction form
    439,363/703,267 = 703,267/x
  3. Step 3: Cross multiply
    439,363x = 703,267 × 703,267
  4. Step 4: Simplify right side
    439,363x = 494,584,473,289
  5. Step 5: Solve for x
    x = 494,584,473,289/439,363
  6. Step 6: Final answer
    x = 1,125,685.31

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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.