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Finding the Third Proportional to 284,634 and 632,292

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Solution

The third proportional to 284,634 and 632,292 is: 1,404,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,634 : 632,292 = 632,292 : x
  2. Step 2: Convert to fraction form
    284,634/632,292 = 632,292/x
  3. Step 3: Cross multiply
    284,634x = 632,292 × 632,292
  4. Step 4: Simplify right side
    284,634x = 399,793,173,264
  5. Step 5: Solve for x
    x = 399,793,173,264/284,634
  6. Step 6: Final answer
    x = 1,404,586.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.