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Finding the Third Proportional to 283,752 and 609,318

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Solution

The third proportional to 283,752 and 609,318 is: 1,308,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,752 : 609,318 = 609,318 : x
  2. Step 2: Convert to fraction form
    283,752/609,318 = 609,318/x
  3. Step 3: Cross multiply
    283,752x = 609,318 × 609,318
  4. Step 4: Simplify right side
    283,752x = 371,268,425,124
  5. Step 5: Solve for x
    x = 371,268,425,124/283,752
  6. Step 6: Final answer
    x = 1,308,425.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.