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Finding the Third Proportional to 396,664 and 604,300

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Solution

The third proportional to 396,664 and 604,300 is: 920,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,664 : 604,300 = 604,300 : x
  2. Step 2: Convert to fraction form
    396,664/604,300 = 604,300/x
  3. Step 3: Cross multiply
    396,664x = 604,300 × 604,300
  4. Step 4: Simplify right side
    396,664x = 365,178,490,000
  5. Step 5: Solve for x
    x = 365,178,490,000/396,664
  6. Step 6: Final answer
    x = 920,624.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.