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Finding the Third Proportional to 332,577 and 507,169

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Solution

The third proportional to 332,577 and 507,169 is: 773,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,577 : 507,169 = 507,169 : x
  2. Step 2: Convert to fraction form
    332,577/507,169 = 507,169/x
  3. Step 3: Cross multiply
    332,577x = 507,169 × 507,169
  4. Step 4: Simplify right side
    332,577x = 257,220,394,561
  5. Step 5: Solve for x
    x = 257,220,394,561/332,577
  6. Step 6: Final answer
    x = 773,416.06

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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.