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Finding the Third Proportional to 258,219 and 559,315.50

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Solution

The third proportional to 258,219 and 559,315.50 is: 1,211,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,219 : 559,315.50 = 559,315.50 : x
  2. Step 2: Convert to fraction form
    258,219/559,315.50 = 559,315.50/x
  3. Step 3: Cross multiply
    258,219x = 559,315.50 × 559,315.50
  4. Step 4: Simplify right side
    258,219x = 312,833,828,540.25
  5. Step 5: Solve for x
    x = 312,833,828,540.25/258,219
  6. Step 6: Final answer
    x = 1,211,505.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.