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Finding the Third Proportional to 236,813 and 507,322

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Solution

The third proportional to 236,813 and 507,322 is: 1,086,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,813 : 507,322 = 507,322 : x
  2. Step 2: Convert to fraction form
    236,813/507,322 = 507,322/x
  3. Step 3: Cross multiply
    236,813x = 507,322 × 507,322
  4. Step 4: Simplify right side
    236,813x = 257,375,611,684
  5. Step 5: Solve for x
    x = 257,375,611,684/236,813
  6. Step 6: Final answer
    x = 1,086,830.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.