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Finding the Third Proportional to 476,122 and 737,835

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Solution

The third proportional to 476,122 and 737,835 is: 1,143,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,122 : 737,835 = 737,835 : x
  2. Step 2: Convert to fraction form
    476,122/737,835 = 737,835/x
  3. Step 3: Cross multiply
    476,122x = 737,835 × 737,835
  4. Step 4: Simplify right side
    476,122x = 544,400,487,225
  5. Step 5: Solve for x
    x = 544,400,487,225/476,122
  6. Step 6: Final answer
    x = 1,143,405.44

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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.