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Finding the Third Proportional to 415,962 and 594,408

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Solution

The third proportional to 415,962 and 594,408 is: 849,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,962 : 594,408 = 594,408 : x
  2. Step 2: Convert to fraction form
    415,962/594,408 = 594,408/x
  3. Step 3: Cross multiply
    415,962x = 594,408 × 594,408
  4. Step 4: Simplify right side
    415,962x = 353,320,870,464
  5. Step 5: Solve for x
    x = 353,320,870,464/415,962
  6. Step 6: Final answer
    x = 849,406.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.