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Finding the Third Proportional to 289,946 and 588,046

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Solution

The third proportional to 289,946 and 588,046 is: 1,192,629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,946 : 588,046 = 588,046 : x
  2. Step 2: Convert to fraction form
    289,946/588,046 = 588,046/x
  3. Step 3: Cross multiply
    289,946x = 588,046 × 588,046
  4. Step 4: Simplify right side
    289,946x = 345,798,098,116
  5. Step 5: Solve for x
    x = 345,798,098,116/289,946
  6. Step 6: Final answer
    x = 1,192,629.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.