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Finding the Third Proportional to 408,282 and 600,756

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Solution

The third proportional to 408,282 and 600,756 is: 883,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,282 : 600,756 = 600,756 : x
  2. Step 2: Convert to fraction form
    408,282/600,756 = 600,756/x
  3. Step 3: Cross multiply
    408,282x = 600,756 × 600,756
  4. Step 4: Simplify right side
    408,282x = 360,907,771,536
  5. Step 5: Solve for x
    x = 360,907,771,536/408,282
  6. Step 6: Final answer
    x = 883,966.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.