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Finding the Third Proportional to 289,332 and 422,694

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Solution

The third proportional to 289,332 and 422,694 is: 617,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,332 : 422,694 = 422,694 : x
  2. Step 2: Convert to fraction form
    289,332/422,694 = 422,694/x
  3. Step 3: Cross multiply
    289,332x = 422,694 × 422,694
  4. Step 4: Simplify right side
    289,332x = 178,670,217,636
  5. Step 5: Solve for x
    x = 178,670,217,636/289,332
  6. Step 6: Final answer
    x = 617,526.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.