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Finding the Third Proportional to 264,118 and 358,592

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Solution

The third proportional to 264,118 and 358,592 is: 486,858.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,118 : 358,592 = 358,592 : x
  2. Step 2: Convert to fraction form
    264,118/358,592 = 358,592/x
  3. Step 3: Cross multiply
    264,118x = 358,592 × 358,592
  4. Step 4: Simplify right side
    264,118x = 128,588,222,464
  5. Step 5: Solve for x
    x = 128,588,222,464/264,118
  6. Step 6: Final answer
    x = 486,858.99

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.