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Finding the Third Proportional to 377,916 and 829,552

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Solution

The third proportional to 377,916 and 829,552 is: 1,820,924.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,916 : 829,552 = 829,552 : x
  2. Step 2: Convert to fraction form
    377,916/829,552 = 829,552/x
  3. Step 3: Cross multiply
    377,916x = 829,552 × 829,552
  4. Step 4: Simplify right side
    377,916x = 688,156,520,704
  5. Step 5: Solve for x
    x = 688,156,520,704/377,916
  6. Step 6: Final answer
    x = 1,820,924.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.