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Finding the Third Proportional to 454,801.50 and 965,052

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Solution

The third proportional to 454,801.50 and 965,052 is: 2,047,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,801.50 : 965,052 = 965,052 : x
  2. Step 2: Convert to fraction form
    454,801.50/965,052 = 965,052/x
  3. Step 3: Cross multiply
    454,801.50x = 965,052 × 965,052
  4. Step 4: Simplify right side
    454,801.50x = 931,325,362,704
  5. Step 5: Solve for x
    x = 931,325,362,704/454,801.50
  6. Step 6: Final answer
    x = 2,047,762.29

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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.