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Finding the Third Proportional to 585,792 and 876,672

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Solution

The third proportional to 585,792 and 876,672 is: 1,311,990.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,792 : 876,672 = 876,672 : x
  2. Step 2: Convert to fraction form
    585,792/876,672 = 876,672/x
  3. Step 3: Cross multiply
    585,792x = 876,672 × 876,672
  4. Step 4: Simplify right side
    585,792x = 768,553,795,584
  5. Step 5: Solve for x
    x = 768,553,795,584/585,792
  6. Step 6: Final answer
    x = 1,311,990.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.