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Finding the Third Proportional to 258,051.75 and 607,144.50

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Solution

The third proportional to 258,051.75 and 607,144.50 is: 1,428,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,051.75 : 607,144.50 = 607,144.50 : x
  2. Step 2: Convert to fraction form
    258,051.75/607,144.50 = 607,144.50/x
  3. Step 3: Cross multiply
    258,051.75x = 607,144.50 × 607,144.50
  4. Step 4: Simplify right side
    258,051.75x = 368,624,443,880.25
  5. Step 5: Solve for x
    x = 368,624,443,880.25/258,051.75
  6. Step 6: Final answer
    x = 1,428,490.39

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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.