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Finding the Third Proportional to 284,160 and 441,504

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Solution

The third proportional to 284,160 and 441,504 is: 685,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,160 : 441,504 = 441,504 : x
  2. Step 2: Convert to fraction form
    284,160/441,504 = 441,504/x
  3. Step 3: Cross multiply
    284,160x = 441,504 × 441,504
  4. Step 4: Simplify right side
    284,160x = 194,925,782,016
  5. Step 5: Solve for x
    x = 194,925,782,016/284,160
  6. Step 6: Final answer
    x = 685,971.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.