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Finding the Third Proportional to 475,796 and 737,598

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Solution

The third proportional to 475,796 and 737,598 is: 1,143,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,796 : 737,598 = 737,598 : x
  2. Step 2: Convert to fraction form
    475,796/737,598 = 737,598/x
  3. Step 3: Cross multiply
    475,796x = 737,598 × 737,598
  4. Step 4: Simplify right side
    475,796x = 544,050,809,604
  5. Step 5: Solve for x
    x = 544,050,809,604/475,796
  6. Step 6: Final answer
    x = 1,143,453.94

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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.