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Finding the Third Proportional to 442,863 and 705,017

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Solution

The third proportional to 442,863 and 705,017 is: 1,122,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,863 : 705,017 = 705,017 : x
  2. Step 2: Convert to fraction form
    442,863/705,017 = 705,017/x
  3. Step 3: Cross multiply
    442,863x = 705,017 × 705,017
  4. Step 4: Simplify right side
    442,863x = 497,048,970,289
  5. Step 5: Solve for x
    x = 497,048,970,289/442,863
  6. Step 6: Final answer
    x = 1,122,353.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.