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Finding the Third Proportional to 284,008 and 612,304

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Solution

The third proportional to 284,008 and 612,304 is: 1,320,090.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,008 : 612,304 = 612,304 : x
  2. Step 2: Convert to fraction form
    284,008/612,304 = 612,304/x
  3. Step 3: Cross multiply
    284,008x = 612,304 × 612,304
  4. Step 4: Simplify right side
    284,008x = 374,916,188,416
  5. Step 5: Solve for x
    x = 374,916,188,416/284,008
  6. Step 6: Final answer
    x = 1,320,090.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.