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Finding the Third Proportional to 284,132 and 612,544

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Solution

The third proportional to 284,132 and 612,544 is: 1,320,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,132 : 612,544 = 612,544 : x
  2. Step 2: Convert to fraction form
    284,132/612,544 = 612,544/x
  3. Step 3: Cross multiply
    284,132x = 612,544 × 612,544
  4. Step 4: Simplify right side
    284,132x = 375,210,151,936
  5. Step 5: Solve for x
    x = 375,210,151,936/284,132
  6. Step 6: Final answer
    x = 1,320,548.73

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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.