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Finding the Third Proportional to 284,096 and 623,488

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Solution

The third proportional to 284,096 and 623,488 is: 1,368,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,096 : 623,488 = 623,488 : x
  2. Step 2: Convert to fraction form
    284,096/623,488 = 623,488/x
  3. Step 3: Cross multiply
    284,096x = 623,488 × 623,488
  4. Step 4: Simplify right side
    284,096x = 388,737,286,144
  5. Step 5: Solve for x
    x = 388,737,286,144/284,096
  6. Step 6: Final answer
    x = 1,368,330.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.