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Finding the Third Proportional to 284,405 and 608,176

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Solution

The third proportional to 284,405 and 608,176 is: 1,300,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,405 : 608,176 = 608,176 : x
  2. Step 2: Convert to fraction form
    284,405/608,176 = 608,176/x
  3. Step 3: Cross multiply
    284,405x = 608,176 × 608,176
  4. Step 4: Simplify right side
    284,405x = 369,878,046,976
  5. Step 5: Solve for x
    x = 369,878,046,976/284,405
  6. Step 6: Final answer
    x = 1,300,532.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.