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Finding the Third Proportional to 470,814 and 604,509

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Solution

The third proportional to 470,814 and 604,509 is: 776,168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,814 : 604,509 = 604,509 : x
  2. Step 2: Convert to fraction form
    470,814/604,509 = 604,509/x
  3. Step 3: Cross multiply
    470,814x = 604,509 × 604,509
  4. Step 4: Simplify right side
    470,814x = 365,431,131,081
  5. Step 5: Solve for x
    x = 365,431,131,081/470,814
  6. Step 6: Final answer
    x = 776,168.79

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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.