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Finding the Third Proportional to 258,021 and 607,099.50

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Solution

The third proportional to 258,021 and 607,099.50 is: 1,428,448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,021 : 607,099.50 = 607,099.50 : x
  2. Step 2: Convert to fraction form
    258,021/607,099.50 = 607,099.50/x
  3. Step 3: Cross multiply
    258,021x = 607,099.50 × 607,099.50
  4. Step 4: Simplify right side
    258,021x = 368,569,802,900.25
  5. Step 5: Solve for x
    x = 368,569,802,900.25/258,021
  6. Step 6: Final answer
    x = 1,428,448.86

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.