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Finding the Third Proportional to 510,125.63 and 762,522.19

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Solution

The third proportional to 510,125.63 and 762,522.19 is: 1,139,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,125.63 : 762,522.19 = 762,522.19 : x
  2. Step 2: Convert to fraction form
    510,125.63/762,522.19 = 762,522.19/x
  3. Step 3: Cross multiply
    510,125.63x = 762,522.19 × 762,522.19
  4. Step 4: Simplify right side
    510,125.63x = 581,440,086,429.79
  5. Step 5: Solve for x
    x = 581,440,086,429.79/510,125.63
  6. Step 6: Final answer
    x = 1,139,797.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.