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Finding the Third Proportional to 415,968 and 594,856

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Solution

The third proportional to 415,968 and 594,856 is: 850,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,968 : 594,856 = 594,856 : x
  2. Step 2: Convert to fraction form
    415,968/594,856 = 594,856/x
  3. Step 3: Cross multiply
    415,968x = 594,856 × 594,856
  4. Step 4: Simplify right side
    415,968x = 353,853,660,736
  5. Step 5: Solve for x
    x = 353,853,660,736/415,968
  6. Step 6: Final answer
    x = 850,675.20

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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.