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Finding the Third Proportional to 455,668 and 679,806

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Solution

The third proportional to 455,668 and 679,806 is: 1,014,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,668 : 679,806 = 679,806 : x
  2. Step 2: Convert to fraction form
    455,668/679,806 = 679,806/x
  3. Step 3: Cross multiply
    455,668x = 679,806 × 679,806
  4. Step 4: Simplify right side
    455,668x = 462,136,197,636
  5. Step 5: Solve for x
    x = 462,136,197,636/455,668
  6. Step 6: Final answer
    x = 1,014,194.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.