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Finding the Third Proportional to 465,178 and 737,799

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Solution

The third proportional to 465,178 and 737,799 is: 1,170,191.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,178 : 737,799 = 737,799 : x
  2. Step 2: Convert to fraction form
    465,178/737,799 = 737,799/x
  3. Step 3: Cross multiply
    465,178x = 737,799 × 737,799
  4. Step 4: Simplify right side
    465,178x = 544,347,364,401
  5. Step 5: Solve for x
    x = 544,347,364,401/465,178
  6. Step 6: Final answer
    x = 1,170,191.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.