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Finding the Third Proportional to 258,120 and 607,291.50

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Solution

The third proportional to 258,120 and 607,291.50 is: 1,428,804.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,120 : 607,291.50 = 607,291.50 : x
  2. Step 2: Convert to fraction form
    258,120/607,291.50 = 607,291.50/x
  3. Step 3: Cross multiply
    258,120x = 607,291.50 × 607,291.50
  4. Step 4: Simplify right side
    258,120x = 368,802,965,972.25
  5. Step 5: Solve for x
    x = 368,802,965,972.25/258,120
  6. Step 6: Final answer
    x = 1,428,804.30

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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.