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Finding the Third Proportional to 476,282 and 656,103

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Solution

The third proportional to 476,282 and 656,103 is: 903,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,282 : 656,103 = 656,103 : x
  2. Step 2: Convert to fraction form
    476,282/656,103 = 656,103/x
  3. Step 3: Cross multiply
    476,282x = 656,103 × 656,103
  4. Step 4: Simplify right side
    476,282x = 430,471,146,609
  5. Step 5: Solve for x
    x = 430,471,146,609/476,282
  6. Step 6: Final answer
    x = 903,815.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.