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Finding the Third Proportional to 355,357 and 769,763

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Solution

The third proportional to 355,357 and 769,763 is: 1,667,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,357 : 769,763 = 769,763 : x
  2. Step 2: Convert to fraction form
    355,357/769,763 = 769,763/x
  3. Step 3: Cross multiply
    355,357x = 769,763 × 769,763
  4. Step 4: Simplify right side
    355,357x = 592,535,076,169
  5. Step 5: Solve for x
    x = 592,535,076,169/355,357
  6. Step 6: Final answer
    x = 1,667,436.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.