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Finding the Third Proportional to 453,909 and 682,822.50

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Solution

The third proportional to 453,909 and 682,822.50 is: 1,027,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,909 : 682,822.50 = 682,822.50 : x
  2. Step 2: Convert to fraction form
    453,909/682,822.50 = 682,822.50/x
  3. Step 3: Cross multiply
    453,909x = 682,822.50 × 682,822.50
  4. Step 4: Simplify right side
    453,909x = 466,246,566,506.25
  5. Step 5: Solve for x
    x = 466,246,566,506.25/453,909
  6. Step 6: Final answer
    x = 1,027,180.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.