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Finding the Third Proportional to 473,949.67 and 770,003.40

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Solution

The third proportional to 473,949.67 and 770,003.40 is: 1,250,987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,949.67 : 770,003.40 = 770,003.40 : x
  2. Step 2: Convert to fraction form
    473,949.67/770,003.40 = 770,003.40/x
  3. Step 3: Cross multiply
    473,949.67x = 770,003.40 × 770,003.40
  4. Step 4: Simplify right side
    473,949.67x = 592,905,239,620.95
  5. Step 5: Solve for x
    x = 592,905,239,620.95/473,949.67
  6. Step 6: Final answer
    x = 1,250,987.77

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.