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Finding the Third Proportional to 284,130 and 431,378

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Solution

The third proportional to 284,130 and 431,378 is: 654,936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,130 : 431,378 = 431,378 : x
  2. Step 2: Convert to fraction form
    284,130/431,378 = 431,378/x
  3. Step 3: Cross multiply
    284,130x = 431,378 × 431,378
  4. Step 4: Simplify right side
    284,130x = 186,086,978,884
  5. Step 5: Solve for x
    x = 186,086,978,884/284,130
  6. Step 6: Final answer
    x = 654,936.05

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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.