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Finding the Third Proportional to 349,492.85 and 777,717.70

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Solution

The third proportional to 349,492.85 and 777,717.70 is: 1,730,635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,492.85 : 777,717.70 = 777,717.70 : x
  2. Step 2: Convert to fraction form
    349,492.85/777,717.70 = 777,717.70/x
  3. Step 3: Cross multiply
    349,492.85x = 777,717.70 × 777,717.70
  4. Step 4: Simplify right side
    349,492.85x = 604,844,825,754.03
  5. Step 5: Solve for x
    x = 604,844,825,754.03/349,492.85
  6. Step 6: Final answer
    x = 1,730,635.76

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.