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Finding the Third Proportional to 401,921 and 553,668

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Solution

The third proportional to 401,921 and 553,668 is: 762,707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,921 : 553,668 = 553,668 : x
  2. Step 2: Convert to fraction form
    401,921/553,668 = 553,668/x
  3. Step 3: Cross multiply
    401,921x = 553,668 × 553,668
  4. Step 4: Simplify right side
    401,921x = 306,548,254,224
  5. Step 5: Solve for x
    x = 306,548,254,224/401,921
  6. Step 6: Final answer
    x = 762,707.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.