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Finding the Third Proportional to 288,792 and 446,304

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Solution

The third proportional to 288,792 and 446,304 is: 689,725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,792 : 446,304 = 446,304 : x
  2. Step 2: Convert to fraction form
    288,792/446,304 = 446,304/x
  3. Step 3: Cross multiply
    288,792x = 446,304 × 446,304
  4. Step 4: Simplify right side
    288,792x = 199,187,260,416
  5. Step 5: Solve for x
    x = 199,187,260,416/288,792
  6. Step 6: Final answer
    x = 689,725.69

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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.