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Finding the Third Proportional to 376,784 and 823,552

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Solution

The third proportional to 376,784 and 823,552 is: 1,800,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,784 : 823,552 = 823,552 : x
  2. Step 2: Convert to fraction form
    376,784/823,552 = 823,552/x
  3. Step 3: Cross multiply
    376,784x = 823,552 × 823,552
  4. Step 4: Simplify right side
    376,784x = 678,237,896,704
  5. Step 5: Solve for x
    x = 678,237,896,704/376,784
  6. Step 6: Final answer
    x = 1,800,070.85

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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.