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Finding the Third Proportional to 520,670 and 804,600

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Solution

The third proportional to 520,670 and 804,600 is: 1,243,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,670 : 804,600 = 804,600 : x
  2. Step 2: Convert to fraction form
    520,670/804,600 = 804,600/x
  3. Step 3: Cross multiply
    520,670x = 804,600 × 804,600
  4. Step 4: Simplify right side
    520,670x = 647,381,160,000
  5. Step 5: Solve for x
    x = 647,381,160,000/520,670
  6. Step 6: Final answer
    x = 1,243,361.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.