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Finding the Third Proportional to 415,970 and 594,859

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Solution

The third proportional to 415,970 and 594,859 is: 850,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,970 : 594,859 = 594,859 : x
  2. Step 2: Convert to fraction form
    415,970/594,859 = 594,859/x
  3. Step 3: Cross multiply
    415,970x = 594,859 × 594,859
  4. Step 4: Simplify right side
    415,970x = 353,857,229,881
  5. Step 5: Solve for x
    x = 353,857,229,881/415,970
  6. Step 6: Final answer
    x = 850,679.69

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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.