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Finding the Third Proportional to 470,779 and 604,467

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Solution

The third proportional to 470,779 and 604,467 is: 776,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,779 : 604,467 = 604,467 : x
  2. Step 2: Convert to fraction form
    470,779/604,467 = 604,467/x
  3. Step 3: Cross multiply
    470,779x = 604,467 × 604,467
  4. Step 4: Simplify right side
    470,779x = 365,380,354,089
  5. Step 5: Solve for x
    x = 365,380,354,089/470,779
  6. Step 6: Final answer
    x = 776,118.63

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.