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Finding the Third Proportional to 420,715.25 and 917,579.75

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Solution

The third proportional to 420,715.25 and 917,579.75 is: 2,001,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,715.25 : 917,579.75 = 917,579.75 : x
  2. Step 2: Convert to fraction form
    420,715.25/917,579.75 = 917,579.75/x
  3. Step 3: Cross multiply
    420,715.25x = 917,579.75 × 917,579.75
  4. Step 4: Simplify right side
    420,715.25x = 841,952,597,610.06
  5. Step 5: Solve for x
    x = 841,952,597,610.06/420,715.25
  6. Step 6: Final answer
    x = 2,001,240.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.