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Finding the Third Proportional to 474,696 and 734,773

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Solution

The third proportional to 474,696 and 734,773 is: 1,137,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,696 : 734,773 = 734,773 : x
  2. Step 2: Convert to fraction form
    474,696/734,773 = 734,773/x
  3. Step 3: Cross multiply
    474,696x = 734,773 × 734,773
  4. Step 4: Simplify right side
    474,696x = 539,891,361,529
  5. Step 5: Solve for x
    x = 539,891,361,529/474,696
  6. Step 6: Final answer
    x = 1,137,341.29

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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.