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Finding the Third Proportional to 259,312 and 389,232

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Solution

The third proportional to 259,312 and 389,232 is: 584,244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,312 : 389,232 = 389,232 : x
  2. Step 2: Convert to fraction form
    259,312/389,232 = 389,232/x
  3. Step 3: Cross multiply
    259,312x = 389,232 × 389,232
  4. Step 4: Simplify right side
    259,312x = 151,501,549,824
  5. Step 5: Solve for x
    x = 151,501,549,824/259,312
  6. Step 6: Final answer
    x = 584,244.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.