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Finding the Third Proportional to 316,411 and 682,546

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Solution

The third proportional to 316,411 and 682,546 is: 1,472,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,411 : 682,546 = 682,546 : x
  2. Step 2: Convert to fraction form
    316,411/682,546 = 682,546/x
  3. Step 3: Cross multiply
    316,411x = 682,546 × 682,546
  4. Step 4: Simplify right side
    316,411x = 465,869,042,116
  5. Step 5: Solve for x
    x = 465,869,042,116/316,411
  6. Step 6: Final answer
    x = 1,472,354.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.