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Finding the Third Proportional to 285,280.50 and 441,501

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Solution

The third proportional to 285,280.50 and 441,501 is: 683,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,280.50 : 441,501 = 441,501 : x
  2. Step 2: Convert to fraction form
    285,280.50/441,501 = 441,501/x
  3. Step 3: Cross multiply
    285,280.50x = 441,501 × 441,501
  4. Step 4: Simplify right side
    285,280.50x = 194,923,133,001
  5. Step 5: Solve for x
    x = 194,923,133,001/285,280.50
  6. Step 6: Final answer
    x = 683,268.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.