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Finding the Third Proportional to 452,405 and 703,412

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Solution

The third proportional to 452,405 and 703,412 is: 1,093,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,405 : 703,412 = 703,412 : x
  2. Step 2: Convert to fraction form
    452,405/703,412 = 703,412/x
  3. Step 3: Cross multiply
    452,405x = 703,412 × 703,412
  4. Step 4: Simplify right side
    452,405x = 494,788,441,744
  5. Step 5: Solve for x
    x = 494,788,441,744/452,405
  6. Step 6: Final answer
    x = 1,093,684.73

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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.