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Finding the Third Proportional to 400,080 and 562,668

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Solution

The third proportional to 400,080 and 562,668 is: 791,329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,080 : 562,668 = 562,668 : x
  2. Step 2: Convert to fraction form
    400,080/562,668 = 562,668/x
  3. Step 3: Cross multiply
    400,080x = 562,668 × 562,668
  4. Step 4: Simplify right side
    400,080x = 316,595,278,224
  5. Step 5: Solve for x
    x = 316,595,278,224/400,080
  6. Step 6: Final answer
    x = 791,329.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.