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Finding the Third Proportional to 283,219 and 455,810

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Solution

The third proportional to 283,219 and 455,810 is: 733,576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,219 : 455,810 = 455,810 : x
  2. Step 2: Convert to fraction form
    283,219/455,810 = 455,810/x
  3. Step 3: Cross multiply
    283,219x = 455,810 × 455,810
  4. Step 4: Simplify right side
    283,219x = 207,762,756,100
  5. Step 5: Solve for x
    x = 207,762,756,100/283,219
  6. Step 6: Final answer
    x = 733,576.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.