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Finding the Third Proportional to 454,582.50 and 956,145

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Solution

The third proportional to 454,582.50 and 956,145 is: 2,011,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,582.50 : 956,145 = 956,145 : x
  2. Step 2: Convert to fraction form
    454,582.50/956,145 = 956,145/x
  3. Step 3: Cross multiply
    454,582.50x = 956,145 × 956,145
  4. Step 4: Simplify right side
    454,582.50x = 914,213,261,025
  5. Step 5: Solve for x
    x = 914,213,261,025/454,582.50
  6. Step 6: Final answer
    x = 2,011,105.27

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.