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Finding the Third Proportional to 284,141 and 441,152

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Solution

The third proportional to 284,141 and 441,152 is: 684,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,141 : 441,152 = 441,152 : x
  2. Step 2: Convert to fraction form
    284,141/441,152 = 441,152/x
  3. Step 3: Cross multiply
    284,141x = 441,152 × 441,152
  4. Step 4: Simplify right side
    284,141x = 194,615,087,104
  5. Step 5: Solve for x
    x = 194,615,087,104/284,141
  6. Step 6: Final answer
    x = 684,924.34

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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.