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Finding the Third Proportional to 435,923.72 and 923,705.16

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Solution

The third proportional to 435,923.72 and 923,705.16 is: 1,957,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,923.72 : 923,705.16 = 923,705.16 : x
  2. Step 2: Convert to fraction form
    435,923.72/923,705.16 = 923,705.16/x
  3. Step 3: Cross multiply
    435,923.72x = 923,705.16 × 923,705.16
  4. Step 4: Simplify right side
    435,923.72x = 853,231,215,682.84
  5. Step 5: Solve for x
    x = 853,231,215,682.84/435,923.72
  6. Step 6: Final answer
    x = 1,957,294.77

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Why These Related Problems?

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