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Finding the Third Proportional to 295,111.48 and 635,373.49

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Solution

The third proportional to 295,111.48 and 635,373.49 is: 1,367,955.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,111.48 : 635,373.49 = 635,373.49 : x
  2. Step 2: Convert to fraction form
    295,111.48/635,373.49 = 635,373.49/x
  3. Step 3: Cross multiply
    295,111.48x = 635,373.49 × 635,373.49
  4. Step 4: Simplify right side
    295,111.48x = 403,699,474,574.54
  5. Step 5: Solve for x
    x = 403,699,474,574.54/295,111.48
  6. Step 6: Final answer
    x = 1,367,955.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.