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Finding the Third Proportional to 331,402.50 and 506,733.75

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Solution

The third proportional to 331,402.50 and 506,733.75 is: 774,825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,402.50 : 506,733.75 = 506,733.75 : x
  2. Step 2: Convert to fraction form
    331,402.50/506,733.75 = 506,733.75/x
  3. Step 3: Cross multiply
    331,402.50x = 506,733.75 × 506,733.75
  4. Step 4: Simplify right side
    331,402.50x = 256,779,093,389.06
  5. Step 5: Solve for x
    x = 256,779,093,389.06/331,402.50
  6. Step 6: Final answer
    x = 774,825.46

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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.