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Finding the Third Proportional to 415,920 and 594,786

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Solution

The third proportional to 415,920 and 594,786 is: 850,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,920 : 594,786 = 594,786 : x
  2. Step 2: Convert to fraction form
    415,920/594,786 = 594,786/x
  3. Step 3: Cross multiply
    415,920x = 594,786 × 594,786
  4. Step 4: Simplify right side
    415,920x = 353,770,385,796
  5. Step 5: Solve for x
    x = 353,770,385,796/415,920
  6. Step 6: Final answer
    x = 850,573.15

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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.