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Finding the Third Proportional to 308,946 and 676,944

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Solution

The third proportional to 308,946 and 676,944 is: 1,483,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,946 : 676,944 = 676,944 : x
  2. Step 2: Convert to fraction form
    308,946/676,944 = 676,944/x
  3. Step 3: Cross multiply
    308,946x = 676,944 × 676,944
  4. Step 4: Simplify right side
    308,946x = 458,253,179,136
  5. Step 5: Solve for x
    x = 458,253,179,136/308,946
  6. Step 6: Final answer
    x = 1,483,279.21

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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.