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Finding the Third Proportional to 415,828 and 594,638

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Solution

The third proportional to 415,828 and 594,638 is: 850,338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,828 : 594,638 = 594,638 : x
  2. Step 2: Convert to fraction form
    415,828/594,638 = 594,638/x
  3. Step 3: Cross multiply
    415,828x = 594,638 × 594,638
  4. Step 4: Simplify right side
    415,828x = 353,594,351,044
  5. Step 5: Solve for x
    x = 353,594,351,044/415,828
  6. Step 6: Final answer
    x = 850,338.00

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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.