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Finding the Third Proportional to 360,634 and 769,516

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Solution

The third proportional to 360,634 and 769,516 is: 1,641,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,634 : 769,516 = 769,516 : x
  2. Step 2: Convert to fraction form
    360,634/769,516 = 769,516/x
  3. Step 3: Cross multiply
    360,634x = 769,516 × 769,516
  4. Step 4: Simplify right side
    360,634x = 592,154,874,256
  5. Step 5: Solve for x
    x = 592,154,874,256/360,634
  6. Step 6: Final answer
    x = 1,641,982.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.