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Finding the Third Proportional to 473,990.75 and 670,682.25

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Solution

The third proportional to 473,990.75 and 670,682.25 is: 948,994.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,990.75 : 670,682.25 = 670,682.25 : x
  2. Step 2: Convert to fraction form
    473,990.75/670,682.25 = 670,682.25/x
  3. Step 3: Cross multiply
    473,990.75x = 670,682.25 × 670,682.25
  4. Step 4: Simplify right side
    473,990.75x = 449,814,680,465.06
  5. Step 5: Solve for x
    x = 449,814,680,465.06/473,990.75
  6. Step 6: Final answer
    x = 948,994.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.