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Finding the Third Proportional to 454,324.50 and 705,453.75

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Solution

The third proportional to 454,324.50 and 705,453.75 is: 1,095,395.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,324.50 : 705,453.75 = 705,453.75 : x
  2. Step 2: Convert to fraction form
    454,324.50/705,453.75 = 705,453.75/x
  3. Step 3: Cross multiply
    454,324.50x = 705,453.75 × 705,453.75
  4. Step 4: Simplify right side
    454,324.50x = 497,664,993,389.06
  5. Step 5: Solve for x
    x = 497,664,993,389.06/454,324.50
  6. Step 6: Final answer
    x = 1,095,395.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.