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Finding the Third Proportional to 377,073 and 820,488

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Solution

The third proportional to 377,073 and 820,488 is: 1,785,332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,073 : 820,488 = 820,488 : x
  2. Step 2: Convert to fraction form
    377,073/820,488 = 820,488/x
  3. Step 3: Cross multiply
    377,073x = 820,488 × 820,488
  4. Step 4: Simplify right side
    377,073x = 673,200,558,144
  5. Step 5: Solve for x
    x = 673,200,558,144/377,073
  6. Step 6: Final answer
    x = 1,785,332.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.