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Finding the Third Proportional to 333,062 and 507,936

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Solution

The third proportional to 333,062 and 507,936 is: 774,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,062 : 507,936 = 507,936 : x
  2. Step 2: Convert to fraction form
    333,062/507,936 = 507,936/x
  3. Step 3: Cross multiply
    333,062x = 507,936 × 507,936
  4. Step 4: Simplify right side
    333,062x = 257,998,980,096
  5. Step 5: Solve for x
    x = 257,998,980,096/333,062
  6. Step 6: Final answer
    x = 774,627.49

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.