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Finding the Third Proportional to 246,468 and 374,319

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Solution

The third proportional to 246,468 and 374,319 is: 568,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,468 : 374,319 = 374,319 : x
  2. Step 2: Convert to fraction form
    246,468/374,319 = 374,319/x
  3. Step 3: Cross multiply
    246,468x = 374,319 × 374,319
  4. Step 4: Simplify right side
    246,468x = 140,114,713,761
  5. Step 5: Solve for x
    x = 140,114,713,761/246,468
  6. Step 6: Final answer
    x = 568,490.49

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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.