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Finding the Third Proportional to 252,977 and 384,646

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Solution

The third proportional to 252,977 and 384,646 is: 584,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,977 : 384,646 = 384,646 : x
  2. Step 2: Convert to fraction form
    252,977/384,646 = 384,646/x
  3. Step 3: Cross multiply
    252,977x = 384,646 × 384,646
  4. Step 4: Simplify right side
    252,977x = 147,952,545,316
  5. Step 5: Solve for x
    x = 147,952,545,316/252,977
  6. Step 6: Final answer
    x = 584,845.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.