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Finding the Third Proportional to 578,423.50 and 1,245,664

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Solution

The third proportional to 578,423.50 and 1,245,664 is: 2,682,599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,423.50 : 1,245,664 = 1,245,664 : x
  2. Step 2: Convert to fraction form
    578,423.50/1,245,664 = 1,245,664/x
  3. Step 3: Cross multiply
    578,423.50x = 1,245,664 × 1,245,664
  4. Step 4: Simplify right side
    578,423.50x = 1,551,678,800,896
  5. Step 5: Solve for x
    x = 1,551,678,800,896/578,423.50
  6. Step 6: Final answer
    x = 2,682,599.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.