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Finding the Third Proportional to 332,581 and 507,175

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Solution

The third proportional to 332,581 and 507,175 is: 773,425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,581 : 507,175 = 507,175 : x
  2. Step 2: Convert to fraction form
    332,581/507,175 = 507,175/x
  3. Step 3: Cross multiply
    332,581x = 507,175 × 507,175
  4. Step 4: Simplify right side
    332,581x = 257,226,480,625
  5. Step 5: Solve for x
    x = 257,226,480,625/332,581
  6. Step 6: Final answer
    x = 773,425.06

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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.