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Finding the Third Proportional to 508,714 and 809,775

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Solution

The third proportional to 508,714 and 809,775 is: 1,289,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,714 : 809,775 = 809,775 : x
  2. Step 2: Convert to fraction form
    508,714/809,775 = 809,775/x
  3. Step 3: Cross multiply
    508,714x = 809,775 × 809,775
  4. Step 4: Simplify right side
    508,714x = 655,735,550,625
  5. Step 5: Solve for x
    x = 655,735,550,625/508,714
  6. Step 6: Final answer
    x = 1,289,006.30

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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.