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Finding the Third Proportional to 393,457.50 and 705,936

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Solution

The third proportional to 393,457.50 and 705,936 is: 1,266,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,457.50 : 705,936 = 705,936 : x
  2. Step 2: Convert to fraction form
    393,457.50/705,936 = 705,936/x
  3. Step 3: Cross multiply
    393,457.50x = 705,936 × 705,936
  4. Step 4: Simplify right side
    393,457.50x = 498,345,636,096
  5. Step 5: Solve for x
    x = 498,345,636,096/393,457.50
  6. Step 6: Final answer
    x = 1,266,580.60

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.