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Finding the Third Proportional to 435,861 and 923,656.50

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Solution

The third proportional to 435,861 and 923,656.50 is: 1,957,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,861 : 923,656.50 = 923,656.50 : x
  2. Step 2: Convert to fraction form
    435,861/923,656.50 = 923,656.50/x
  3. Step 3: Cross multiply
    435,861x = 923,656.50 × 923,656.50
  4. Step 4: Simplify right side
    435,861x = 853,141,329,992.25
  5. Step 5: Solve for x
    x = 853,141,329,992.25/435,861
  6. Step 6: Final answer
    x = 1,957,370.19

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.