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Finding the Third Proportional to 336,870 and 505,304

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Solution

The third proportional to 336,870 and 505,304 is: 757,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,870 : 505,304 = 505,304 : x
  2. Step 2: Convert to fraction form
    336,870/505,304 = 505,304/x
  3. Step 3: Cross multiply
    336,870x = 505,304 × 505,304
  4. Step 4: Simplify right side
    336,870x = 255,332,132,416
  5. Step 5: Solve for x
    x = 255,332,132,416/336,870
  6. Step 6: Final answer
    x = 757,954.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.