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Finding the Third Proportional to 452,154 and 699,015

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Solution

The third proportional to 452,154 and 699,015 is: 1,080,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,154 : 699,015 = 699,015 : x
  2. Step 2: Convert to fraction form
    452,154/699,015 = 699,015/x
  3. Step 3: Cross multiply
    452,154x = 699,015 × 699,015
  4. Step 4: Simplify right side
    452,154x = 488,621,970,225
  5. Step 5: Solve for x
    x = 488,621,970,225/452,154
  6. Step 6: Final answer
    x = 1,080,653.87

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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.