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Finding the Third Proportional to 259,386 and 558,784.50

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Solution

The third proportional to 259,386 and 558,784.50 is: 1,203,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,386 : 558,784.50 = 558,784.50 : x
  2. Step 2: Convert to fraction form
    259,386/558,784.50 = 558,784.50/x
  3. Step 3: Cross multiply
    259,386x = 558,784.50 × 558,784.50
  4. Step 4: Simplify right side
    259,386x = 312,240,117,440.25
  5. Step 5: Solve for x
    x = 312,240,117,440.25/259,386
  6. Step 6: Final answer
    x = 1,203,766.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.