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Finding the Third Proportional to 621,472.50 and 1,353,658.50

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Solution

The third proportional to 621,472.50 and 1,353,658.50 is: 2,948,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,472.50 : 1,353,658.50 = 1,353,658.50 : x
  2. Step 2: Convert to fraction form
    621,472.50/1,353,658.50 = 1,353,658.50/x
  3. Step 3: Cross multiply
    621,472.50x = 1,353,658.50 × 1,353,658.50
  4. Step 4: Simplify right side
    621,472.50x = 1,832,391,334,622.25
  5. Step 5: Solve for x
    x = 1,832,391,334,622.25/621,472.50
  6. Step 6: Final answer
    x = 2,948,467.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.