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Finding the Third Proportional to 332,581.50 and 507,175.50

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Solution

The third proportional to 332,581.50 and 507,175.50 is: 773,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,581.50 : 507,175.50 = 507,175.50 : x
  2. Step 2: Convert to fraction form
    332,581.50/507,175.50 = 507,175.50/x
  3. Step 3: Cross multiply
    332,581.50x = 507,175.50 × 507,175.50
  4. Step 4: Simplify right side
    332,581.50x = 257,226,987,800.25
  5. Step 5: Solve for x
    x = 257,226,987,800.25/332,581.50
  6. Step 6: Final answer
    x = 773,425.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.