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Finding the Third Proportional to 258,081 and 607,210.50

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Solution

The third proportional to 258,081 and 607,210.50 is: 1,428,639.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,081 : 607,210.50 = 607,210.50 : x
  2. Step 2: Convert to fraction form
    258,081/607,210.50 = 607,210.50/x
  3. Step 3: Cross multiply
    258,081x = 607,210.50 × 607,210.50
  4. Step 4: Simplify right side
    258,081x = 368,704,591,310.25
  5. Step 5: Solve for x
    x = 368,704,591,310.25/258,081
  6. Step 6: Final answer
    x = 1,428,639.04

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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.