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Finding the Third Proportional to 313,314 and 576,326

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Solution

The third proportional to 313,314 and 576,326 is: 1,060,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,314 : 576,326 = 576,326 : x
  2. Step 2: Convert to fraction form
    313,314/576,326 = 576,326/x
  3. Step 3: Cross multiply
    313,314x = 576,326 × 576,326
  4. Step 4: Simplify right side
    313,314x = 332,151,658,276
  5. Step 5: Solve for x
    x = 332,151,658,276/313,314
  6. Step 6: Final answer
    x = 1,060,123.90

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.