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Finding the Third Proportional to 506,104 and 757,752

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Solution

The third proportional to 506,104 and 757,752 is: 1,134,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,104 : 757,752 = 757,752 : x
  2. Step 2: Convert to fraction form
    506,104/757,752 = 757,752/x
  3. Step 3: Cross multiply
    506,104x = 757,752 × 757,752
  4. Step 4: Simplify right side
    506,104x = 574,188,093,504
  5. Step 5: Solve for x
    x = 574,188,093,504/506,104
  6. Step 6: Final answer
    x = 1,134,525.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.