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Finding the Third Proportional to 302,304 and 624,192

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Solution

The third proportional to 302,304 and 624,192 is: 1,288,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,304 : 624,192 = 624,192 : x
  2. Step 2: Convert to fraction form
    302,304/624,192 = 624,192/x
  3. Step 3: Cross multiply
    302,304x = 624,192 × 624,192
  4. Step 4: Simplify right side
    302,304x = 389,615,652,864
  5. Step 5: Solve for x
    x = 389,615,652,864/302,304
  6. Step 6: Final answer
    x = 1,288,820.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.