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Finding the Third Proportional to 452,400.75 and 703,406.25

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Solution

The third proportional to 452,400.75 and 703,406.25 is: 1,093,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,400.75 : 703,406.25 = 703,406.25 : x
  2. Step 2: Convert to fraction form
    452,400.75/703,406.25 = 703,406.25/x
  3. Step 3: Cross multiply
    452,400.75x = 703,406.25 × 703,406.25
  4. Step 4: Simplify right side
    452,400.75x = 494,780,352,539.06
  5. Step 5: Solve for x
    x = 494,780,352,539.06/452,400.75
  6. Step 6: Final answer
    x = 1,093,677.13

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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.