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Finding the Third Proportional to 420,457.50 and 635,715

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Solution

The third proportional to 420,457.50 and 635,715 is: 961,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,457.50 : 635,715 = 635,715 : x
  2. Step 2: Convert to fraction form
    420,457.50/635,715 = 635,715/x
  3. Step 3: Cross multiply
    420,457.50x = 635,715 × 635,715
  4. Step 4: Simplify right side
    420,457.50x = 404,133,561,225
  5. Step 5: Solve for x
    x = 404,133,561,225/420,457.50
  6. Step 6: Final answer
    x = 961,175.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.