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Finding the Third Proportional to 506,466.75 and 772,563.75

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Solution

The third proportional to 506,466.75 and 772,563.75 is: 1,178,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,466.75 : 772,563.75 = 772,563.75 : x
  2. Step 2: Convert to fraction form
    506,466.75/772,563.75 = 772,563.75/x
  3. Step 3: Cross multiply
    506,466.75x = 772,563.75 × 772,563.75
  4. Step 4: Simplify right side
    506,466.75x = 596,854,747,814.06
  5. Step 5: Solve for x
    x = 596,854,747,814.06/506,466.75
  6. Step 6: Final answer
    x = 1,178,467.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.