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Finding the Third Proportional to 246,408 and 504,480

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Solution

The third proportional to 246,408 and 504,480 is: 1,032,840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,408 : 504,480 = 504,480 : x
  2. Step 2: Convert to fraction form
    246,408/504,480 = 504,480/x
  3. Step 3: Cross multiply
    246,408x = 504,480 × 504,480
  4. Step 4: Simplify right side
    246,408x = 254,500,070,400
  5. Step 5: Solve for x
    x = 254,500,070,400/246,408
  6. Step 6: Final answer
    x = 1,032,840.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.