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Finding the Third Proportional to 285,280 and 441,500.25

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Solution

The third proportional to 285,280 and 441,500.25 is: 683,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,280 : 441,500.25 = 441,500.25 : x
  2. Step 2: Convert to fraction form
    285,280/441,500.25 = 441,500.25/x
  3. Step 3: Cross multiply
    285,280x = 441,500.25 × 441,500.25
  4. Step 4: Simplify right side
    285,280x = 194,922,470,750.06
  5. Step 5: Solve for x
    x = 194,922,470,750.06/285,280
  6. Step 6: Final answer
    x = 683,267.21

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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.