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Finding the Third Proportional to 259,710 and 389,565

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Solution

The third proportional to 259,710 and 389,565 is: 584,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,710 : 389,565 = 389,565 : x
  2. Step 2: Convert to fraction form
    259,710/389,565 = 389,565/x
  3. Step 3: Cross multiply
    259,710x = 389,565 × 389,565
  4. Step 4: Simplify right side
    259,710x = 151,760,889,225
  5. Step 5: Solve for x
    x = 151,760,889,225/259,710
  6. Step 6: Final answer
    x = 584,347.50

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Why These Related Problems?

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