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Finding the Third Proportional to 308,269.50 and 483,717

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Solution

The third proportional to 308,269.50 and 483,717 is: 759,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,269.50 : 483,717 = 483,717 : x
  2. Step 2: Convert to fraction form
    308,269.50/483,717 = 483,717/x
  3. Step 3: Cross multiply
    308,269.50x = 483,717 × 483,717
  4. Step 4: Simplify right side
    308,269.50x = 233,982,136,089
  5. Step 5: Solve for x
    x = 233,982,136,089/308,269.50
  6. Step 6: Final answer
    x = 759,018.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.