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Finding the Third Proportional to 286,339 and 604,025

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Solution

The third proportional to 286,339 and 604,025 is: 1,274,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,339 : 604,025 = 604,025 : x
  2. Step 2: Convert to fraction form
    286,339/604,025 = 604,025/x
  3. Step 3: Cross multiply
    286,339x = 604,025 × 604,025
  4. Step 4: Simplify right side
    286,339x = 364,846,200,625
  5. Step 5: Solve for x
    x = 364,846,200,625/286,339
  6. Step 6: Final answer
    x = 1,274,175.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.