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Finding the Third Proportional to 313,451 and 473,093

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Solution

The third proportional to 313,451 and 473,093 is: 714,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,451 : 473,093 = 473,093 : x
  2. Step 2: Convert to fraction form
    313,451/473,093 = 473,093/x
  3. Step 3: Cross multiply
    313,451x = 473,093 × 473,093
  4. Step 4: Simplify right side
    313,451x = 223,816,986,649
  5. Step 5: Solve for x
    x = 223,816,986,649/313,451
  6. Step 6: Final answer
    x = 714,041.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.