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Finding the Third Proportional to 452,792 and 663,144

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Solution

The third proportional to 452,792 and 663,144 is: 971,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,792 : 663,144 = 663,144 : x
  2. Step 2: Convert to fraction form
    452,792/663,144 = 663,144/x
  3. Step 3: Cross multiply
    452,792x = 663,144 × 663,144
  4. Step 4: Simplify right side
    452,792x = 439,759,964,736
  5. Step 5: Solve for x
    x = 439,759,964,736/452,792
  6. Step 6: Final answer
    x = 971,218.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.