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Finding the Third Proportional to 436,640 and 652,256

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Solution

The third proportional to 436,640 and 652,256 is: 974,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,640 : 652,256 = 652,256 : x
  2. Step 2: Convert to fraction form
    436,640/652,256 = 652,256/x
  3. Step 3: Cross multiply
    436,640x = 652,256 × 652,256
  4. Step 4: Simplify right side
    436,640x = 425,437,889,536
  5. Step 5: Solve for x
    x = 425,437,889,536/436,640
  6. Step 6: Final answer
    x = 974,344.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.