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Finding the Third Proportional to 308,947 and 676,946

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Solution

The third proportional to 308,947 and 676,946 is: 1,483,283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,947 : 676,946 = 676,946 : x
  2. Step 2: Convert to fraction form
    308,947/676,946 = 676,946/x
  3. Step 3: Cross multiply
    308,947x = 676,946 × 676,946
  4. Step 4: Simplify right side
    308,947x = 458,255,886,916
  5. Step 5: Solve for x
    x = 458,255,886,916/308,947
  6. Step 6: Final answer
    x = 1,483,283.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.