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Finding the Third Proportional to 417,523 and 930,668

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Solution

The third proportional to 417,523 and 930,668 is: 2,074,479.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,523 : 930,668 = 930,668 : x
  2. Step 2: Convert to fraction form
    417,523/930,668 = 930,668/x
  3. Step 3: Cross multiply
    417,523x = 930,668 × 930,668
  4. Step 4: Simplify right side
    417,523x = 866,142,926,224
  5. Step 5: Solve for x
    x = 866,142,926,224/417,523
  6. Step 6: Final answer
    x = 2,074,479.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.