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Finding the Third Proportional to 420,613.75 and 917,353.75

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Solution

The third proportional to 420,613.75 and 917,353.75 is: 2,000,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,613.75 : 917,353.75 = 917,353.75 : x
  2. Step 2: Convert to fraction form
    420,613.75/917,353.75 = 917,353.75/x
  3. Step 3: Cross multiply
    420,613.75x = 917,353.75 × 917,353.75
  4. Step 4: Simplify right side
    420,613.75x = 841,537,902,639.06
  5. Step 5: Solve for x
    x = 841,537,902,639.06/420,613.75
  6. Step 6: Final answer
    x = 2,000,737.98

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