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Finding the Third Proportional to 258,068.25 and 607,254.75

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Solution

The third proportional to 258,068.25 and 607,254.75 is: 1,428,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,068.25 : 607,254.75 = 607,254.75 : x
  2. Step 2: Convert to fraction form
    258,068.25/607,254.75 = 607,254.75/x
  3. Step 3: Cross multiply
    258,068.25x = 607,254.75 × 607,254.75
  4. Step 4: Simplify right side
    258,068.25x = 368,758,331,397.56
  5. Step 5: Solve for x
    x = 368,758,331,397.56/258,068.25
  6. Step 6: Final answer
    x = 1,428,917.86

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Why These Related Problems?

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