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Finding the Third Proportional to 332,579 and 507,172

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Solution

The third proportional to 332,579 and 507,172 is: 773,420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,579 : 507,172 = 507,172 : x
  2. Step 2: Convert to fraction form
    332,579/507,172 = 507,172/x
  3. Step 3: Cross multiply
    332,579x = 507,172 × 507,172
  4. Step 4: Simplify right side
    332,579x = 257,223,437,584
  5. Step 5: Solve for x
    x = 257,223,437,584/332,579
  6. Step 6: Final answer
    x = 773,420.56

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