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Finding the Third Proportional to 465,934 and 705,919

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Solution

The third proportional to 465,934 and 705,919 is: 1,069,511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,934 : 705,919 = 705,919 : x
  2. Step 2: Convert to fraction form
    465,934/705,919 = 705,919/x
  3. Step 3: Cross multiply
    465,934x = 705,919 × 705,919
  4. Step 4: Simplify right side
    465,934x = 498,321,634,561
  5. Step 5: Solve for x
    x = 498,321,634,561/465,934
  6. Step 6: Final answer
    x = 1,069,511.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.