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Finding the Third Proportional to 284,696 and 418,476

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Solution

The third proportional to 284,696 and 418,476 is: 615,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,696 : 418,476 = 418,476 : x
  2. Step 2: Convert to fraction form
    284,696/418,476 = 418,476/x
  3. Step 3: Cross multiply
    284,696x = 418,476 × 418,476
  4. Step 4: Simplify right side
    284,696x = 175,122,162,576
  5. Step 5: Solve for x
    x = 175,122,162,576/284,696
  6. Step 6: Final answer
    x = 615,119.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.