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Finding the Third Proportional to 452,409.75 and 703,419.75

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Solution

The third proportional to 452,409.75 and 703,419.75 is: 1,093,697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,409.75 : 703,419.75 = 703,419.75 : x
  2. Step 2: Convert to fraction form
    452,409.75/703,419.75 = 703,419.75/x
  3. Step 3: Cross multiply
    452,409.75x = 703,419.75 × 703,419.75
  4. Step 4: Simplify right side
    452,409.75x = 494,799,344,690.06
  5. Step 5: Solve for x
    x = 494,799,344,690.06/452,409.75
  6. Step 6: Final answer
    x = 1,093,697.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.