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Finding the Third Proportional to 414,632.25 and 635,053.50

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Solution

The third proportional to 414,632.25 and 635,053.50 is: 972,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,632.25 : 635,053.50 = 635,053.50 : x
  2. Step 2: Convert to fraction form
    414,632.25/635,053.50 = 635,053.50/x
  3. Step 3: Cross multiply
    414,632.25x = 635,053.50 × 635,053.50
  4. Step 4: Simplify right side
    414,632.25x = 403,292,947,862.25
  5. Step 5: Solve for x
    x = 403,292,947,862.25/414,632.25
  6. Step 6: Final answer
    x = 972,652.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.