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Finding the Third Proportional to 324,255 and 461,907.38

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Solution

The third proportional to 324,255 and 461,907.38 is: 657,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,255 : 461,907.38 = 461,907.38 : x
  2. Step 2: Convert to fraction form
    324,255/461,907.38 = 461,907.38/x
  3. Step 3: Cross multiply
    324,255x = 461,907.38 × 461,907.38
  4. Step 4: Simplify right side
    324,255x = 213,358,423,079.39
  5. Step 5: Solve for x
    x = 213,358,423,079.39/324,255
  6. Step 6: Final answer
    x = 657,995.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.