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Finding the Third Proportional to 379,184 and 829,792

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Solution

The third proportional to 379,184 and 829,792 is: 1,815,885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,184 : 829,792 = 829,792 : x
  2. Step 2: Convert to fraction form
    379,184/829,792 = 829,792/x
  3. Step 3: Cross multiply
    379,184x = 829,792 × 829,792
  4. Step 4: Simplify right side
    379,184x = 688,554,763,264
  5. Step 5: Solve for x
    x = 688,554,763,264/379,184
  6. Step 6: Final answer
    x = 1,815,885.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.