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Finding the Third Proportional to 332,467.50 and 712,198.50

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Solution

The third proportional to 332,467.50 and 712,198.50 is: 1,525,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,467.50 : 712,198.50 = 712,198.50 : x
  2. Step 2: Convert to fraction form
    332,467.50/712,198.50 = 712,198.50/x
  3. Step 3: Cross multiply
    332,467.50x = 712,198.50 × 712,198.50
  4. Step 4: Simplify right side
    332,467.50x = 507,226,703,402.25
  5. Step 5: Solve for x
    x = 507,226,703,402.25/332,467.50
  6. Step 6: Final answer
    x = 1,525,642.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.