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Finding the Third Proportional to 476,118 and 737,829

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Solution

The third proportional to 476,118 and 737,829 is: 1,143,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,118 : 737,829 = 737,829 : x
  2. Step 2: Convert to fraction form
    476,118/737,829 = 737,829/x
  3. Step 3: Cross multiply
    476,118x = 737,829 × 737,829
  4. Step 4: Simplify right side
    476,118x = 544,391,633,241
  5. Step 5: Solve for x
    x = 544,391,633,241/476,118
  6. Step 6: Final answer
    x = 1,143,396.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.