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Finding the Third Proportional to 258,048.75 and 607,137

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Solution

The third proportional to 258,048.75 and 607,137 is: 1,428,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,048.75 : 607,137 = 607,137 : x
  2. Step 2: Convert to fraction form
    258,048.75/607,137 = 607,137/x
  3. Step 3: Cross multiply
    258,048.75x = 607,137 × 607,137
  4. Step 4: Simplify right side
    258,048.75x = 368,615,336,769
  5. Step 5: Solve for x
    x = 368,615,336,769/258,048.75
  6. Step 6: Final answer
    x = 1,428,471.70

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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.