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Finding the Third Proportional to 353,754 and 763,822.83

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Solution

The third proportional to 353,754 and 763,822.83 is: 1,649,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,754 : 763,822.83 = 763,822.83 : x
  2. Step 2: Convert to fraction form
    353,754/763,822.83 = 763,822.83/x
  3. Step 3: Cross multiply
    353,754x = 763,822.83 × 763,822.83
  4. Step 4: Simplify right side
    353,754x = 583,425,312,764.87
  5. Step 5: Solve for x
    x = 583,425,312,764.87/353,754
  6. Step 6: Final answer
    x = 1,649,240.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.