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Finding the Third Proportional to 473,193 and 734,751

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Solution

The third proportional to 473,193 and 734,751 is: 1,140,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,193 : 734,751 = 734,751 : x
  2. Step 2: Convert to fraction form
    473,193/734,751 = 734,751/x
  3. Step 3: Cross multiply
    473,193x = 734,751 × 734,751
  4. Step 4: Simplify right side
    473,193x = 539,859,032,001
  5. Step 5: Solve for x
    x = 539,859,032,001/473,193
  6. Step 6: Final answer
    x = 1,140,885.50

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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.