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Finding the Third Proportional to 470,766 and 604,449

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Solution

The third proportional to 470,766 and 604,449 is: 776,093.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,766 : 604,449 = 604,449 : x
  2. Step 2: Convert to fraction form
    470,766/604,449 = 604,449/x
  3. Step 3: Cross multiply
    470,766x = 604,449 × 604,449
  4. Step 4: Simplify right side
    470,766x = 365,358,593,601
  5. Step 5: Solve for x
    x = 365,358,593,601/470,766
  6. Step 6: Final answer
    x = 776,093.84

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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.