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Finding the Third Proportional to 391,116 and 824,265

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Solution

The third proportional to 391,116 and 824,265 is: 1,737,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,116 : 824,265 = 824,265 : x
  2. Step 2: Convert to fraction form
    391,116/824,265 = 824,265/x
  3. Step 3: Cross multiply
    391,116x = 824,265 × 824,265
  4. Step 4: Simplify right side
    391,116x = 679,412,790,225
  5. Step 5: Solve for x
    x = 679,412,790,225/391,116
  6. Step 6: Final answer
    x = 1,737,113.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.