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Finding the Third Proportional to 246,064 and 521,488

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Solution

The third proportional to 246,064 and 521,488 is: 1,105,199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,064 : 521,488 = 521,488 : x
  2. Step 2: Convert to fraction form
    246,064/521,488 = 521,488/x
  3. Step 3: Cross multiply
    246,064x = 521,488 × 521,488
  4. Step 4: Simplify right side
    246,064x = 271,949,734,144
  5. Step 5: Solve for x
    x = 271,949,734,144/246,064
  6. Step 6: Final answer
    x = 1,105,199.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.