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Finding the Third Proportional to 415,914 and 661,131

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Solution

The third proportional to 415,914 and 661,131 is: 1,050,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,914 : 661,131 = 661,131 : x
  2. Step 2: Convert to fraction form
    415,914/661,131 = 661,131/x
  3. Step 3: Cross multiply
    415,914x = 661,131 × 661,131
  4. Step 4: Simplify right side
    415,914x = 437,094,199,161
  5. Step 5: Solve for x
    x = 437,094,199,161/415,914
  6. Step 6: Final answer
    x = 1,050,924.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.