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Finding the Third Proportional to 323,740 and 507,853

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Solution

The third proportional to 323,740 and 507,853 is: 796,672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,740 : 507,853 = 507,853 : x
  2. Step 2: Convert to fraction form
    323,740/507,853 = 507,853/x
  3. Step 3: Cross multiply
    323,740x = 507,853 × 507,853
  4. Step 4: Simplify right side
    323,740x = 257,914,669,609
  5. Step 5: Solve for x
    x = 257,914,669,609/323,740
  6. Step 6: Final answer
    x = 796,672.24

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.