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Finding the Third Proportional to 400,258 and 562,947

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Solution

The third proportional to 400,258 and 562,947 is: 791,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,258 : 562,947 = 562,947 : x
  2. Step 2: Convert to fraction form
    400,258/562,947 = 562,947/x
  3. Step 3: Cross multiply
    400,258x = 562,947 × 562,947
  4. Step 4: Simplify right side
    400,258x = 316,909,324,809
  5. Step 5: Solve for x
    x = 316,909,324,809/400,258
  6. Step 6: Final answer
    x = 791,762.63

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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.