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Finding the Third Proportional to 283,216.50 and 455,807.25

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Solution

The third proportional to 283,216.50 and 455,807.25 is: 733,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,216.50 : 455,807.25 = 455,807.25 : x
  2. Step 2: Convert to fraction form
    283,216.50/455,807.25 = 455,807.25/x
  3. Step 3: Cross multiply
    283,216.50x = 455,807.25 × 455,807.25
  4. Step 4: Simplify right side
    283,216.50x = 207,760,249,152.56
  5. Step 5: Solve for x
    x = 207,760,249,152.56/283,216.50
  6. Step 6: Final answer
    x = 733,573.96

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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.