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Finding the Third Proportional to 332,910 and 507,663

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Solution

The third proportional to 332,910 and 507,663 is: 774,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,910 : 507,663 = 507,663 : x
  2. Step 2: Convert to fraction form
    332,910/507,663 = 507,663/x
  3. Step 3: Cross multiply
    332,910x = 507,663 × 507,663
  4. Step 4: Simplify right side
    332,910x = 257,721,721,569
  5. Step 5: Solve for x
    x = 257,721,721,569/332,910
  6. Step 6: Final answer
    x = 774,148.33

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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.