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Finding the Third Proportional to 452,085.75 and 613,972.13

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Solution

The third proportional to 452,085.75 and 613,972.13 is: 833,828.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,085.75 : 613,972.13 = 613,972.13 : x
  2. Step 2: Convert to fraction form
    452,085.75/613,972.13 = 613,972.13/x
  3. Step 3: Cross multiply
    452,085.75x = 613,972.13 × 613,972.13
  4. Step 4: Simplify right side
    452,085.75x = 376,961,770,277.02
  5. Step 5: Solve for x
    x = 376,961,770,277.02/452,085.75
  6. Step 6: Final answer
    x = 833,828.03

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.