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Finding the Third Proportional to 258,103.13 and 607,250.25

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Solution

The third proportional to 258,103.13 and 607,250.25 is: 1,428,703.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,103.13 : 607,250.25 = 607,250.25 : x
  2. Step 2: Convert to fraction form
    258,103.13/607,250.25 = 607,250.25/x
  3. Step 3: Cross multiply
    258,103.13x = 607,250.25 × 607,250.25
  4. Step 4: Simplify right side
    258,103.13x = 368,752,866,125.06
  5. Step 5: Solve for x
    x = 368,752,866,125.06/258,103.13
  6. Step 6: Final answer
    x = 1,428,703.61

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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.