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Finding the Third Proportional to 258,787 and 563,136.50

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Solution

The third proportional to 258,787 and 563,136.50 is: 1,225,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,787 : 563,136.50 = 563,136.50 : x
  2. Step 2: Convert to fraction form
    258,787/563,136.50 = 563,136.50/x
  3. Step 3: Cross multiply
    258,787x = 563,136.50 × 563,136.50
  4. Step 4: Simplify right side
    258,787x = 317,122,717,632.25
  5. Step 5: Solve for x
    x = 317,122,717,632.25/258,787
  6. Step 6: Final answer
    x = 1,225,419.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.